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Finding the Third Proportional to 910,217.25 and 1,427,807.25

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Solution

The third proportional to 910,217.25 and 1,427,807.25 is: 2,239,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,217.25 : 1,427,807.25 = 1,427,807.25 : x
  2. Step 2: Convert to fraction form
    910,217.25/1,427,807.25 = 1,427,807.25/x
  3. Step 3: Cross multiply
    910,217.25x = 1,427,807.25 × 1,427,807.25
  4. Step 4: Simplify right side
    910,217.25x = 2,038,633,543,152.56
  5. Step 5: Solve for x
    x = 2,038,633,543,152.56/910,217.25
  6. Step 6: Final answer
    x = 2,239,721.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.