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Finding the Third Proportional to 455,553,784 and 680,345,472

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Solution

The third proportional to 455,553,784 and 680,345,472 is: 1,016,059,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,553,784 : 680,345,472 = 680,345,472 : x
  2. Step 2: Convert to fraction form
    455,553,784/680,345,472 = 680,345,472/x
  3. Step 3: Cross multiply
    455,553,784x = 680,345,472 × 680,345,472
  4. Step 4: Simplify right side
    455,553,784x = 462,869,961,270,902,784
  5. Step 5: Solve for x
    x = 462,869,961,270,902,784/455,553,784
  6. Step 6: Final answer
    x = 1,016,059,963.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.