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Finding the Third Proportional to 531,470 and 1,156,252

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Solution

The third proportional to 531,470 and 1,156,252 is: 2,515,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,470 : 1,156,252 = 1,156,252 : x
  2. Step 2: Convert to fraction form
    531,470/1,156,252 = 1,156,252/x
  3. Step 3: Cross multiply
    531,470x = 1,156,252 × 1,156,252
  4. Step 4: Simplify right side
    531,470x = 1,336,918,687,504
  5. Step 5: Solve for x
    x = 1,336,918,687,504/531,470
  6. Step 6: Final answer
    x = 2,515,511.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.