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Finding the Third Proportional to 924,708 and 1,450,956

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Solution

The third proportional to 924,708 and 1,450,956 is: 2,276,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,708 : 1,450,956 = 1,450,956 : x
  2. Step 2: Convert to fraction form
    924,708/1,450,956 = 1,450,956/x
  3. Step 3: Cross multiply
    924,708x = 1,450,956 × 1,450,956
  4. Step 4: Simplify right side
    924,708x = 2,105,273,313,936
  5. Step 5: Solve for x
    x = 2,105,273,313,936/924,708
  6. Step 6: Final answer
    x = 2,276,689.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.