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Finding the Third Proportional to 709,455 and 1,576,374

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Solution

The third proportional to 709,455 and 1,576,374 is: 3,502,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,455 : 1,576,374 = 1,576,374 : x
  2. Step 2: Convert to fraction form
    709,455/1,576,374 = 1,576,374/x
  3. Step 3: Cross multiply
    709,455x = 1,576,374 × 1,576,374
  4. Step 4: Simplify right side
    709,455x = 2,484,954,987,876
  5. Step 5: Solve for x
    x = 2,484,954,987,876/709,455
  6. Step 6: Final answer
    x = 3,502,625.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.