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Finding the Third Proportional to 817,864 and 1,241,511

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Solution

The third proportional to 817,864 and 1,241,511 is: 1,884,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,864 : 1,241,511 = 1,241,511 : x
  2. Step 2: Convert to fraction form
    817,864/1,241,511 = 1,241,511/x
  3. Step 3: Cross multiply
    817,864x = 1,241,511 × 1,241,511
  4. Step 4: Simplify right side
    817,864x = 1,541,349,563,121
  5. Step 5: Solve for x
    x = 1,541,349,563,121/817,864
  6. Step 6: Final answer
    x = 1,884,603.75

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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.