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Finding the Third Proportional to 454,866,040 and 665,240,424

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Solution

The third proportional to 454,866,040 and 665,240,424 is: 972,912,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,866,040 : 665,240,424 = 665,240,424 : x
  2. Step 2: Convert to fraction form
    454,866,040/665,240,424 = 665,240,424/x
  3. Step 3: Cross multiply
    454,866,040x = 665,240,424 × 665,240,424
  4. Step 4: Simplify right side
    454,866,040x = 442,544,821,723,699,776
  5. Step 5: Solve for x
    x = 442,544,821,723,699,776/454,866,040
  6. Step 6: Final answer
    x = 972,912,424.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.