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Finding the Third Proportional to 592,734 and 847,007

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Solution

The third proportional to 592,734 and 847,007 is: 1,210,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,734 : 847,007 = 847,007 : x
  2. Step 2: Convert to fraction form
    592,734/847,007 = 847,007/x
  3. Step 3: Cross multiply
    592,734x = 847,007 × 847,007
  4. Step 4: Simplify right side
    592,734x = 717,420,858,049
  5. Step 5: Solve for x
    x = 717,420,858,049/592,734
  6. Step 6: Final answer
    x = 1,210,358.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.