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Finding the Third Proportional to 652,347 and 1,349,442

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Solution

The third proportional to 652,347 and 1,349,442 is: 2,791,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,347 : 1,349,442 = 1,349,442 : x
  2. Step 2: Convert to fraction form
    652,347/1,349,442 = 1,349,442/x
  3. Step 3: Cross multiply
    652,347x = 1,349,442 × 1,349,442
  4. Step 4: Simplify right side
    652,347x = 1,820,993,711,364
  5. Step 5: Solve for x
    x = 1,820,993,711,364/652,347
  6. Step 6: Final answer
    x = 2,791,449.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.