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Finding the Third Proportional to 746,945 and 1,129,311

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Solution

The third proportional to 746,945 and 1,129,311 is: 1,707,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,945 : 1,129,311 = 1,129,311 : x
  2. Step 2: Convert to fraction form
    746,945/1,129,311 = 1,129,311/x
  3. Step 3: Cross multiply
    746,945x = 1,129,311 × 1,129,311
  4. Step 4: Simplify right side
    746,945x = 1,275,343,334,721
  5. Step 5: Solve for x
    x = 1,275,343,334,721/746,945
  6. Step 6: Final answer
    x = 1,707,412.64

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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.