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Finding the Third Proportional to 882,132 and 1,319,724

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Solution

The third proportional to 882,132 and 1,319,724 is: 1,974,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,132 : 1,319,724 = 1,319,724 : x
  2. Step 2: Convert to fraction form
    882,132/1,319,724 = 1,319,724/x
  3. Step 3: Cross multiply
    882,132x = 1,319,724 × 1,319,724
  4. Step 4: Simplify right side
    882,132x = 1,741,671,436,176
  5. Step 5: Solve for x
    x = 1,741,671,436,176/882,132
  6. Step 6: Final answer
    x = 1,974,388.68

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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.