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Finding the Third Proportional to 630,742 and 952,674

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Solution

The third proportional to 630,742 and 952,674 is: 1,438,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,742 : 952,674 = 952,674 : x
  2. Step 2: Convert to fraction form
    630,742/952,674 = 952,674/x
  3. Step 3: Cross multiply
    630,742x = 952,674 × 952,674
  4. Step 4: Simplify right side
    630,742x = 907,587,750,276
  5. Step 5: Solve for x
    x = 907,587,750,276/630,742
  6. Step 6: Final answer
    x = 1,438,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.