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Finding the Third Proportional to 697,626 and 1,046,439

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Solution

The third proportional to 697,626 and 1,046,439 is: 1,569,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,626 : 1,046,439 = 1,046,439 : x
  2. Step 2: Convert to fraction form
    697,626/1,046,439 = 1,046,439/x
  3. Step 3: Cross multiply
    697,626x = 1,046,439 × 1,046,439
  4. Step 4: Simplify right side
    697,626x = 1,095,034,580,721
  5. Step 5: Solve for x
    x = 1,095,034,580,721/697,626
  6. Step 6: Final answer
    x = 1,569,658.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.