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Finding the Third Proportional to 814,710.25 and 1,232,548.75

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Solution

The third proportional to 814,710.25 and 1,232,548.75 is: 1,864,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,710.25 : 1,232,548.75 = 1,232,548.75 : x
  2. Step 2: Convert to fraction form
    814,710.25/1,232,548.75 = 1,232,548.75/x
  3. Step 3: Cross multiply
    814,710.25x = 1,232,548.75 × 1,232,548.75
  4. Step 4: Simplify right side
    814,710.25x = 1,519,176,421,126.56
  5. Step 5: Solve for x
    x = 1,519,176,421,126.56/814,710.25
  6. Step 6: Final answer
    x = 1,864,683.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.