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Finding the Third Proportional to 690,272 and 1,476,498

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Solution

The third proportional to 690,272 and 1,476,498 is: 3,158,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,272 : 1,476,498 = 1,476,498 : x
  2. Step 2: Convert to fraction form
    690,272/1,476,498 = 1,476,498/x
  3. Step 3: Cross multiply
    690,272x = 1,476,498 × 1,476,498
  4. Step 4: Simplify right side
    690,272x = 2,180,046,344,004
  5. Step 5: Solve for x
    x = 2,180,046,344,004/690,272
  6. Step 6: Final answer
    x = 3,158,242.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.