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Finding the Third Proportional to 1,092,963,792 and 1,690,518,480

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Solution

The third proportional to 1,092,963,792 and 1,690,518,480 is: 2,614,773,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,963,792 : 1,690,518,480 = 1,690,518,480 : x
  2. Step 2: Convert to fraction form
    1,092,963,792/1,690,518,480 = 1,690,518,480/x
  3. Step 3: Cross multiply
    1,092,963,792x = 1,690,518,480 × 1,690,518,480
  4. Step 4: Simplify right side
    1,092,963,792x = 2,857,852,731,221,510,144
  5. Step 5: Solve for x
    x = 2,857,852,731,221,510,144/1,092,963,792
  6. Step 6: Final answer
    x = 2,614,773,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.