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Finding the Third Proportional to 719,065 and 1,560,359

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Solution

The third proportional to 719,065 and 1,560,359 is: 3,385,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,065 : 1,560,359 = 1,560,359 : x
  2. Step 2: Convert to fraction form
    719,065/1,560,359 = 1,560,359/x
  3. Step 3: Cross multiply
    719,065x = 1,560,359 × 1,560,359
  4. Step 4: Simplify right side
    719,065x = 2,434,720,208,881
  5. Step 5: Solve for x
    x = 2,434,720,208,881/719,065
  6. Step 6: Final answer
    x = 3,385,952.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.