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Finding the Third Proportional to 924,712 and 1,450,965

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Solution

The third proportional to 924,712 and 1,450,965 is: 2,276,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,712 : 1,450,965 = 1,450,965 : x
  2. Step 2: Convert to fraction form
    924,712/1,450,965 = 1,450,965/x
  3. Step 3: Cross multiply
    924,712x = 1,450,965 × 1,450,965
  4. Step 4: Simplify right side
    924,712x = 2,105,299,431,225
  5. Step 5: Solve for x
    x = 2,105,299,431,225/924,712
  6. Step 6: Final answer
    x = 2,276,708.24

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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.