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Finding the Third Proportional to 532,932 and 1,144,920

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Solution

The third proportional to 532,932 and 1,144,920 is: 2,459,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,932 : 1,144,920 = 1,144,920 : x
  2. Step 2: Convert to fraction form
    532,932/1,144,920 = 1,144,920/x
  3. Step 3: Cross multiply
    532,932x = 1,144,920 × 1,144,920
  4. Step 4: Simplify right side
    532,932x = 1,310,841,806,400
  5. Step 5: Solve for x
    x = 1,310,841,806,400/532,932
  6. Step 6: Final answer
    x = 2,459,679.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.