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Finding the Third Proportional to 817,365 and 1,781,863

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Solution

The third proportional to 817,365 and 1,781,863 is: 3,884,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,365 : 1,781,863 = 1,781,863 : x
  2. Step 2: Convert to fraction form
    817,365/1,781,863 = 1,781,863/x
  3. Step 3: Cross multiply
    817,365x = 1,781,863 × 1,781,863
  4. Step 4: Simplify right side
    817,365x = 3,175,035,750,769
  5. Step 5: Solve for x
    x = 3,175,035,750,769/817,365
  6. Step 6: Final answer
    x = 3,884,477.25

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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.