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Finding the Third Proportional to 419,802,952 and 658,487,292

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Solution

The third proportional to 419,802,952 and 658,487,292 is: 1,032,878,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,802,952 : 658,487,292 = 658,487,292 : x
  2. Step 2: Convert to fraction form
    419,802,952/658,487,292 = 658,487,292/x
  3. Step 3: Cross multiply
    419,802,952x = 658,487,292 × 658,487,292
  4. Step 4: Simplify right side
    419,802,952x = 433,605,513,725,493,248
  5. Step 5: Solve for x
    x = 433,605,513,725,493,248/419,802,952
  6. Step 6: Final answer
    x = 1,032,878,667.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.