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Finding the Third Proportional to 566,572 and 1,217,348

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Solution

The third proportional to 566,572 and 1,217,348 is: 2,615,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,572 : 1,217,348 = 1,217,348 : x
  2. Step 2: Convert to fraction form
    566,572/1,217,348 = 1,217,348/x
  3. Step 3: Cross multiply
    566,572x = 1,217,348 × 1,217,348
  4. Step 4: Simplify right side
    566,572x = 1,481,936,153,104
  5. Step 5: Solve for x
    x = 1,481,936,153,104/566,572
  6. Step 6: Final answer
    x = 2,615,618.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.