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Finding the Third Proportional to 426,437,298 and 644,904,747

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Solution

The third proportional to 426,437,298 and 644,904,747 is: 975,294,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,437,298 : 644,904,747 = 644,904,747 : x
  2. Step 2: Convert to fraction form
    426,437,298/644,904,747 = 644,904,747/x
  3. Step 3: Cross multiply
    426,437,298x = 644,904,747 × 644,904,747
  4. Step 4: Simplify right side
    426,437,298x = 415,902,132,703,134,016
  5. Step 5: Solve for x
    x = 415,902,132,703,134,016/426,437,298
  6. Step 6: Final answer
    x = 975,294,925.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.