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Finding the Third Proportional to 581,390 and 1,251,820

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Solution

The third proportional to 581,390 and 1,251,820 is: 2,695,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,390 : 1,251,820 = 1,251,820 : x
  2. Step 2: Convert to fraction form
    581,390/1,251,820 = 1,251,820/x
  3. Step 3: Cross multiply
    581,390x = 1,251,820 × 1,251,820
  4. Step 4: Simplify right side
    581,390x = 1,567,053,312,400
  5. Step 5: Solve for x
    x = 1,567,053,312,400/581,390
  6. Step 6: Final answer
    x = 2,695,356.49

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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.