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Finding the Third Proportional to 516,306 and 1,118,418

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Solution

The third proportional to 516,306 and 1,118,418 is: 2,422,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,306 : 1,118,418 = 1,118,418 : x
  2. Step 2: Convert to fraction form
    516,306/1,118,418 = 1,118,418/x
  3. Step 3: Cross multiply
    516,306x = 1,118,418 × 1,118,418
  4. Step 4: Simplify right side
    516,306x = 1,250,858,822,724
  5. Step 5: Solve for x
    x = 1,250,858,822,724/516,306
  6. Step 6: Final answer
    x = 2,422,708.28

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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.