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Finding the Third Proportional to 532,062 and 1,148,526

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Solution

The third proportional to 532,062 and 1,148,526 is: 2,479,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,062 : 1,148,526 = 1,148,526 : x
  2. Step 2: Convert to fraction form
    532,062/1,148,526 = 1,148,526/x
  3. Step 3: Cross multiply
    532,062x = 1,148,526 × 1,148,526
  4. Step 4: Simplify right side
    532,062x = 1,319,111,972,676
  5. Step 5: Solve for x
    x = 1,319,111,972,676/532,062
  6. Step 6: Final answer
    x = 2,479,244.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.