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Finding the Third Proportional to 784,626 and 1,663,413

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Solution

The third proportional to 784,626 and 1,663,413 is: 3,526,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,626 : 1,663,413 = 1,663,413 : x
  2. Step 2: Convert to fraction form
    784,626/1,663,413 = 1,663,413/x
  3. Step 3: Cross multiply
    784,626x = 1,663,413 × 1,663,413
  4. Step 4: Simplify right side
    784,626x = 2,766,942,808,569
  5. Step 5: Solve for x
    x = 2,766,942,808,569/784,626
  6. Step 6: Final answer
    x = 3,526,448.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.