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Finding the Third Proportional to 1,376,767.50 and 2,942,709

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Solution

The third proportional to 1,376,767.50 and 2,942,709 is: 6,289,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,767.50 : 2,942,709 = 2,942,709 : x
  2. Step 2: Convert to fraction form
    1,376,767.50/2,942,709 = 2,942,709/x
  3. Step 3: Cross multiply
    1,376,767.50x = 2,942,709 × 2,942,709
  4. Step 4: Simplify right side
    1,376,767.50x = 8,659,536,258,681
  5. Step 5: Solve for x
    x = 8,659,536,258,681/1,376,767.50
  6. Step 6: Final answer
    x = 6,289,759.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.