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Finding the Third Proportional to 717,942 and 1,566,276

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Solution

The third proportional to 717,942 and 1,566,276 is: 3,417,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,942 : 1,566,276 = 1,566,276 : x
  2. Step 2: Convert to fraction form
    717,942/1,566,276 = 1,566,276/x
  3. Step 3: Cross multiply
    717,942x = 1,566,276 × 1,566,276
  4. Step 4: Simplify right side
    717,942x = 2,453,220,508,176
  5. Step 5: Solve for x
    x = 2,453,220,508,176/717,942
  6. Step 6: Final answer
    x = 3,417,017.68

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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.