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Finding the Third Proportional to 516,423 and 1,118,605

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Solution

The third proportional to 516,423 and 1,118,605 is: 2,422,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,423 : 1,118,605 = 1,118,605 : x
  2. Step 2: Convert to fraction form
    516,423/1,118,605 = 1,118,605/x
  3. Step 3: Cross multiply
    516,423x = 1,118,605 × 1,118,605
  4. Step 4: Simplify right side
    516,423x = 1,251,277,146,025
  5. Step 5: Solve for x
    x = 1,251,277,146,025/516,423
  6. Step 6: Final answer
    x = 2,422,969.44

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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.