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Finding the Third Proportional to 817,884 and 1,241,541

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Solution

The third proportional to 817,884 and 1,241,541 is: 1,884,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,884 : 1,241,541 = 1,241,541 : x
  2. Step 2: Convert to fraction form
    817,884/1,241,541 = 1,241,541/x
  3. Step 3: Cross multiply
    817,884x = 1,241,541 × 1,241,541
  4. Step 4: Simplify right side
    817,884x = 1,541,424,054,681
  5. Step 5: Solve for x
    x = 1,541,424,054,681/817,884
  6. Step 6: Final answer
    x = 1,884,648.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.