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Finding the Third Proportional to 854,234 and 1,201,587

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Solution

The third proportional to 854,234 and 1,201,587 is: 1,690,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,234 : 1,201,587 = 1,201,587 : x
  2. Step 2: Convert to fraction form
    854,234/1,201,587 = 1,201,587/x
  3. Step 3: Cross multiply
    854,234x = 1,201,587 × 1,201,587
  4. Step 4: Simplify right side
    854,234x = 1,443,811,318,569
  5. Step 5: Solve for x
    x = 1,443,811,318,569/854,234
  6. Step 6: Final answer
    x = 1,690,182.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.