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Finding the Third Proportional to 912,971.25 and 1,424,726.72

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Solution

The third proportional to 912,971.25 and 1,424,726.72 is: 2,223,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,971.25 : 1,424,726.72 = 1,424,726.72 : x
  2. Step 2: Convert to fraction form
    912,971.25/1,424,726.72 = 1,424,726.72/x
  3. Step 3: Cross multiply
    912,971.25x = 1,424,726.72 × 1,424,726.72
  4. Step 4: Simplify right side
    912,971.25x = 2,029,846,223,120.14
  5. Step 5: Solve for x
    x = 2,029,846,223,120.14/912,971.25
  6. Step 6: Final answer
    x = 2,223,340.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.