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Finding the Third Proportional to 652,418 and 953,451

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Solution

The third proportional to 652,418 and 953,451 is: 1,393,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,418 : 953,451 = 953,451 : x
  2. Step 2: Convert to fraction form
    652,418/953,451 = 953,451/x
  3. Step 3: Cross multiply
    652,418x = 953,451 × 953,451
  4. Step 4: Simplify right side
    652,418x = 909,068,809,401
  5. Step 5: Solve for x
    x = 909,068,809,401/652,418
  6. Step 6: Final answer
    x = 1,393,384.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.