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Finding the Third Proportional to 718,642 and 1,564,780

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Solution

The third proportional to 718,642 and 1,564,780 is: 3,407,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,642 : 1,564,780 = 1,564,780 : x
  2. Step 2: Convert to fraction form
    718,642/1,564,780 = 1,564,780/x
  3. Step 3: Cross multiply
    718,642x = 1,564,780 × 1,564,780
  4. Step 4: Simplify right side
    718,642x = 2,448,536,448,400
  5. Step 5: Solve for x
    x = 2,448,536,448,400/718,642
  6. Step 6: Final answer
    x = 3,407,171.37

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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.