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Finding the Third Proportional to 873,471 and 1,851,916.50

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Solution

The third proportional to 873,471 and 1,851,916.50 is: 3,926,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,471 : 1,851,916.50 = 1,851,916.50 : x
  2. Step 2: Convert to fraction form
    873,471/1,851,916.50 = 1,851,916.50/x
  3. Step 3: Cross multiply
    873,471x = 1,851,916.50 × 1,851,916.50
  4. Step 4: Simplify right side
    873,471x = 3,429,594,722,972.25
  5. Step 5: Solve for x
    x = 3,429,594,722,972.25/873,471
  6. Step 6: Final answer
    x = 3,926,397.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.