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Finding the Third Proportional to 672,232 and 1,041,398

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Solution

The third proportional to 672,232 and 1,041,398 is: 1,613,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,232 : 1,041,398 = 1,041,398 : x
  2. Step 2: Convert to fraction form
    672,232/1,041,398 = 1,041,398/x
  3. Step 3: Cross multiply
    672,232x = 1,041,398 × 1,041,398
  4. Step 4: Simplify right side
    672,232x = 1,084,509,794,404
  5. Step 5: Solve for x
    x = 1,084,509,794,404/672,232
  6. Step 6: Final answer
    x = 1,613,296.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.