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Finding the Third Proportional to 655,543 and 1,426,449

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Solution

The third proportional to 655,543 and 1,426,449 is: 3,103,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,543 : 1,426,449 = 1,426,449 : x
  2. Step 2: Convert to fraction form
    655,543/1,426,449 = 1,426,449/x
  3. Step 3: Cross multiply
    655,543x = 1,426,449 × 1,426,449
  4. Step 4: Simplify right side
    655,543x = 2,034,756,749,601
  5. Step 5: Solve for x
    x = 2,034,756,749,601/655,543
  6. Step 6: Final answer
    x = 3,103,925.68

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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.