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Finding the Third Proportional to 469,732,608 and 982,295,424

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Solution

The third proportional to 469,732,608 and 982,295,424 is: 2,054,156,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,732,608 : 982,295,424 = 982,295,424 : x
  2. Step 2: Convert to fraction form
    469,732,608/982,295,424 = 982,295,424/x
  3. Step 3: Cross multiply
    469,732,608x = 982,295,424 × 982,295,424
  4. Step 4: Simplify right side
    469,732,608x = 964,904,300,011,339,776
  5. Step 5: Solve for x
    x = 964,904,300,011,339,776/469,732,608
  6. Step 6: Final answer
    x = 2,054,156,521.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.