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Finding the Third Proportional to 658,563 and 1,437,654

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Solution

The third proportional to 658,563 and 1,437,654 is: 3,138,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,563 : 1,437,654 = 1,437,654 : x
  2. Step 2: Convert to fraction form
    658,563/1,437,654 = 1,437,654/x
  3. Step 3: Cross multiply
    658,563x = 1,437,654 × 1,437,654
  4. Step 4: Simplify right side
    658,563x = 2,066,849,023,716
  5. Step 5: Solve for x
    x = 2,066,849,023,716/658,563
  6. Step 6: Final answer
    x = 3,138,422.63

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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.