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Finding the Third Proportional to 843,869.25 and 1,265,895

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Solution

The third proportional to 843,869.25 and 1,265,895 is: 1,898,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,869.25 : 1,265,895 = 1,265,895 : x
  2. Step 2: Convert to fraction form
    843,869.25/1,265,895 = 1,265,895/x
  3. Step 3: Cross multiply
    843,869.25x = 1,265,895 × 1,265,895
  4. Step 4: Simplify right side
    843,869.25x = 1,602,490,151,025
  5. Step 5: Solve for x
    x = 1,602,490,151,025/843,869.25
  6. Step 6: Final answer
    x = 1,898,979.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.