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Finding the Third Proportional to 882,134 and 1,319,727

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Solution

The third proportional to 882,134 and 1,319,727 is: 1,974,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,134 : 1,319,727 = 1,319,727 : x
  2. Step 2: Convert to fraction form
    882,134/1,319,727 = 1,319,727/x
  3. Step 3: Cross multiply
    882,134x = 1,319,727 × 1,319,727
  4. Step 4: Simplify right side
    882,134x = 1,741,679,354,529
  5. Step 5: Solve for x
    x = 1,741,679,354,529/882,134
  6. Step 6: Final answer
    x = 1,974,393.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.