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Finding the Third Proportional to 511,157,952 and 730,961,496

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Solution

The third proportional to 511,157,952 and 730,961,496 is: 1,045,282,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,157,952 : 730,961,496 = 730,961,496 : x
  2. Step 2: Convert to fraction form
    511,157,952/730,961,496 = 730,961,496/x
  3. Step 3: Cross multiply
    511,157,952x = 730,961,496 × 730,961,496
  4. Step 4: Simplify right side
    511,157,952x = 534,304,708,634,558,016
  5. Step 5: Solve for x
    x = 534,304,708,634,558,016/511,157,952
  6. Step 6: Final answer
    x = 1,045,282,982.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.