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Finding the Third Proportional to 873,384 and 1,909,695

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Solution

The third proportional to 873,384 and 1,909,695 is: 4,175,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,384 : 1,909,695 = 1,909,695 : x
  2. Step 2: Convert to fraction form
    873,384/1,909,695 = 1,909,695/x
  3. Step 3: Cross multiply
    873,384x = 1,909,695 × 1,909,695
  4. Step 4: Simplify right side
    873,384x = 3,646,934,993,025
  5. Step 5: Solve for x
    x = 3,646,934,993,025/873,384
  6. Step 6: Final answer
    x = 4,175,637.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.