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Finding the Third Proportional to 746,266 and 1,125,642

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Solution

The third proportional to 746,266 and 1,125,642 is: 1,697,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,266 : 1,125,642 = 1,125,642 : x
  2. Step 2: Convert to fraction form
    746,266/1,125,642 = 1,125,642/x
  3. Step 3: Cross multiply
    746,266x = 1,125,642 × 1,125,642
  4. Step 4: Simplify right side
    746,266x = 1,267,069,912,164
  5. Step 5: Solve for x
    x = 1,267,069,912,164/746,266
  6. Step 6: Final answer
    x = 1,697,879.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.