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Finding the Third Proportional to 938,274,814 and 1,272,854,820

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Solution

The third proportional to 938,274,814 and 1,272,854,820 is: 1,726,742,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,274,814 : 1,272,854,820 = 1,272,854,820 : x
  2. Step 2: Convert to fraction form
    938,274,814/1,272,854,820 = 1,272,854,820/x
  3. Step 3: Cross multiply
    938,274,814x = 1,272,854,820 × 1,272,854,820
  4. Step 4: Simplify right side
    938,274,814x = 1,620,159,392,797,232,384
  5. Step 5: Solve for x
    x = 1,620,159,392,797,232,384/938,274,814
  6. Step 6: Final answer
    x = 1,726,742,920.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.