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Finding the Third Proportional to 482,890,260.66 and 1,046,002,790.11

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Solution

The third proportional to 482,890,260.66 and 1,046,002,790.11 is: 2,265,777,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,890,260.66 : 1,046,002,790.11 = 1,046,002,790.11 : x
  2. Step 2: Convert to fraction form
    482,890,260.66/1,046,002,790.11 = 1,046,002,790.11/x
  3. Step 3: Cross multiply
    482,890,260.66x = 1,046,002,790.11 × 1,046,002,790.11
  4. Step 4: Simplify right side
    482,890,260.66x = 1,094,121,836,916,649,600
  5. Step 5: Solve for x
    x = 1,094,121,836,916,649,600/482,890,260.66
  6. Step 6: Final answer
    x = 2,265,777,395.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.