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Finding the Third Proportional to 876,430.13 and 1,320,414.75

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Solution

The third proportional to 876,430.13 and 1,320,414.75 is: 1,989,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,430.13 : 1,320,414.75 = 1,320,414.75 : x
  2. Step 2: Convert to fraction form
    876,430.13/1,320,414.75 = 1,320,414.75/x
  3. Step 3: Cross multiply
    876,430.13x = 1,320,414.75 × 1,320,414.75
  4. Step 4: Simplify right side
    876,430.13x = 1,743,495,112,017.56
  5. Step 5: Solve for x
    x = 1,743,495,112,017.56/876,430.13
  6. Step 6: Final answer
    x = 1,989,314.45

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