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Finding the Third Proportional to 482,894,784 and 1,046,012,310

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Solution

The third proportional to 482,894,784 and 1,046,012,310 is: 2,265,797,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,894,784 : 1,046,012,310 = 1,046,012,310 : x
  2. Step 2: Convert to fraction form
    482,894,784/1,046,012,310 = 1,046,012,310/x
  3. Step 3: Cross multiply
    482,894,784x = 1,046,012,310 × 1,046,012,310
  4. Step 4: Simplify right side
    482,894,784x = 1,094,141,752,671,536,128
  5. Step 5: Solve for x
    x = 1,094,141,752,671,536,128/482,894,784
  6. Step 6: Final answer
    x = 2,265,797,413.69

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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.