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Finding the Third Proportional to 498,477,013 and 1,084,730,364

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Solution

The third proportional to 498,477,013 and 1,084,730,364 is: 2,360,469,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,477,013 : 1,084,730,364 = 1,084,730,364 : x
  2. Step 2: Convert to fraction form
    498,477,013/1,084,730,364 = 1,084,730,364/x
  3. Step 3: Cross multiply
    498,477,013x = 1,084,730,364 × 1,084,730,364
  4. Step 4: Simplify right side
    498,477,013x = 1,176,639,962,583,572,480
  5. Step 5: Solve for x
    x = 1,176,639,962,583,572,480/498,477,013
  6. Step 6: Final answer
    x = 2,360,469,854.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.