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Finding the Third Proportional to 532,472.16 and 1,146,136.69

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Solution

The third proportional to 532,472.16 and 1,146,136.69 is: 2,467,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,472.16 : 1,146,136.69 = 1,146,136.69 : x
  2. Step 2: Convert to fraction form
    532,472.16/1,146,136.69 = 1,146,136.69/x
  3. Step 3: Cross multiply
    532,472.16x = 1,146,136.69 × 1,146,136.69
  4. Step 4: Simplify right side
    532,472.16x = 1,313,629,306,433.47
  5. Step 5: Solve for x
    x = 1,313,629,306,433.47/532,472.16
  6. Step 6: Final answer
    x = 2,467,038.49

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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.