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Finding the Third Proportional to 581,406 and 1,251,516

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Solution

The third proportional to 581,406 and 1,251,516 is: 2,693,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,406 : 1,251,516 = 1,251,516 : x
  2. Step 2: Convert to fraction form
    581,406/1,251,516 = 1,251,516/x
  3. Step 3: Cross multiply
    581,406x = 1,251,516 × 1,251,516
  4. Step 4: Simplify right side
    581,406x = 1,566,292,298,256
  5. Step 5: Solve for x
    x = 1,566,292,298,256/581,406
  6. Step 6: Final answer
    x = 2,693,973.40

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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.