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Finding the Third Proportional to 868,424 and 1,239,564

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Solution

The third proportional to 868,424 and 1,239,564 is: 1,769,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,424 : 1,239,564 = 1,239,564 : x
  2. Step 2: Convert to fraction form
    868,424/1,239,564 = 1,239,564/x
  3. Step 3: Cross multiply
    868,424x = 1,239,564 × 1,239,564
  4. Step 4: Simplify right side
    868,424x = 1,536,518,910,096
  5. Step 5: Solve for x
    x = 1,536,518,910,096/868,424
  6. Step 6: Final answer
    x = 1,769,318.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.