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Finding the Third Proportional to 1,512,401.63 and 2,314,711.69

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Solution

The third proportional to 1,512,401.63 and 2,314,711.69 is: 3,542,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,401.63 : 2,314,711.69 = 2,314,711.69 : x
  2. Step 2: Convert to fraction form
    1,512,401.63/2,314,711.69 = 2,314,711.69/x
  3. Step 3: Cross multiply
    1,512,401.63x = 2,314,711.69 × 2,314,711.69
  4. Step 4: Simplify right side
    1,512,401.63x = 5,357,890,196,249.10
  5. Step 5: Solve for x
    x = 5,357,890,196,249.10/1,512,401.63
  6. Step 6: Final answer
    x = 3,542,637.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.