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Finding the Third Proportional to 718,580 and 1,564,734

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Solution

The third proportional to 718,580 and 1,564,734 is: 3,407,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,580 : 1,564,734 = 1,564,734 : x
  2. Step 2: Convert to fraction form
    718,580/1,564,734 = 1,564,734/x
  3. Step 3: Cross multiply
    718,580x = 1,564,734 × 1,564,734
  4. Step 4: Simplify right side
    718,580x = 2,448,392,490,756
  5. Step 5: Solve for x
    x = 2,448,392,490,756/718,580
  6. Step 6: Final answer
    x = 3,407,265.01

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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.