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Finding the Third Proportional to 497,026,438 and 777,988,906

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Solution

The third proportional to 497,026,438 and 777,988,906 is: 1,217,775,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,026,438 : 777,988,906 = 777,988,906 : x
  2. Step 2: Convert to fraction form
    497,026,438/777,988,906 = 777,988,906/x
  3. Step 3: Cross multiply
    497,026,438x = 777,988,906 × 777,988,906
  4. Step 4: Simplify right side
    497,026,438x = 605,266,737,859,076,864
  5. Step 5: Solve for x
    x = 605,266,737,859,076,864/497,026,438
  6. Step 6: Final answer
    x = 1,217,775,739.04

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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.