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Finding the Third Proportional to 590,352 and 1,278,552

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Solution

The third proportional to 590,352 and 1,278,552 is: 2,769,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,352 : 1,278,552 = 1,278,552 : x
  2. Step 2: Convert to fraction form
    590,352/1,278,552 = 1,278,552/x
  3. Step 3: Cross multiply
    590,352x = 1,278,552 × 1,278,552
  4. Step 4: Simplify right side
    590,352x = 1,634,695,216,704
  5. Step 5: Solve for x
    x = 1,634,695,216,704/590,352
  6. Step 6: Final answer
    x = 2,769,017.83

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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.