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Finding the Third Proportional to 835,746 and 1,255,475

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Solution

The third proportional to 835,746 and 1,255,475 is: 1,886,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,746 : 1,255,475 = 1,255,475 : x
  2. Step 2: Convert to fraction form
    835,746/1,255,475 = 1,255,475/x
  3. Step 3: Cross multiply
    835,746x = 1,255,475 × 1,255,475
  4. Step 4: Simplify right side
    835,746x = 1,576,217,475,625
  5. Step 5: Solve for x
    x = 1,576,217,475,625/835,746
  6. Step 6: Final answer
    x = 1,886,000.62

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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.