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Finding the Third Proportional to 817,386 and 1,781,898

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Solution

The third proportional to 817,386 and 1,781,898 is: 3,884,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,386 : 1,781,898 = 1,781,898 : x
  2. Step 2: Convert to fraction form
    817,386/1,781,898 = 1,781,898/x
  3. Step 3: Cross multiply
    817,386x = 1,781,898 × 1,781,898
  4. Step 4: Simplify right side
    817,386x = 3,175,160,482,404
  5. Step 5: Solve for x
    x = 3,175,160,482,404/817,386
  6. Step 6: Final answer
    x = 3,884,530.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.