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Finding the Third Proportional to 709,459 and 1,576,381

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Solution

The third proportional to 709,459 and 1,576,381 is: 3,502,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,459 : 1,576,381 = 1,576,381 : x
  2. Step 2: Convert to fraction form
    709,459/1,576,381 = 1,576,381/x
  3. Step 3: Cross multiply
    709,459x = 1,576,381 × 1,576,381
  4. Step 4: Simplify right side
    709,459x = 2,484,977,057,161
  5. Step 5: Solve for x
    x = 2,484,977,057,161/709,459
  6. Step 6: Final answer
    x = 3,502,636.60

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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.