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Finding the Third Proportional to 532,412 and 1,153,348

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Solution

The third proportional to 532,412 and 1,153,348 is: 2,498,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,412 : 1,153,348 = 1,153,348 : x
  2. Step 2: Convert to fraction form
    532,412/1,153,348 = 1,153,348/x
  3. Step 3: Cross multiply
    532,412x = 1,153,348 × 1,153,348
  4. Step 4: Simplify right side
    532,412x = 1,330,211,609,104
  5. Step 5: Solve for x
    x = 1,330,211,609,104/532,412
  6. Step 6: Final answer
    x = 2,498,462.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.