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Finding the Third Proportional to 1,031,624 and 1,577,964

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Solution

The third proportional to 1,031,624 and 1,577,964 is: 2,413,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,624 : 1,577,964 = 1,577,964 : x
  2. Step 2: Convert to fraction form
    1,031,624/1,577,964 = 1,577,964/x
  3. Step 3: Cross multiply
    1,031,624x = 1,577,964 × 1,577,964
  4. Step 4: Simplify right side
    1,031,624x = 2,489,970,385,296
  5. Step 5: Solve for x
    x = 2,489,970,385,296/1,031,624
  6. Step 6: Final answer
    x = 2,413,641.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.