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Finding the Third Proportional to 861,854 and 1,748,332

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Solution

The third proportional to 861,854 and 1,748,332 is: 3,546,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,854 : 1,748,332 = 1,748,332 : x
  2. Step 2: Convert to fraction form
    861,854/1,748,332 = 1,748,332/x
  3. Step 3: Cross multiply
    861,854x = 1,748,332 × 1,748,332
  4. Step 4: Simplify right side
    861,854x = 3,056,664,782,224
  5. Step 5: Solve for x
    x = 3,056,664,782,224/861,854
  6. Step 6: Final answer
    x = 3,546,615.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.