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Finding the Third Proportional to 749,660 and 1,153,166

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Solution

The third proportional to 749,660 and 1,153,166 is: 1,773,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,660 : 1,153,166 = 1,153,166 : x
  2. Step 2: Convert to fraction form
    749,660/1,153,166 = 1,153,166/x
  3. Step 3: Cross multiply
    749,660x = 1,153,166 × 1,153,166
  4. Step 4: Simplify right side
    749,660x = 1,329,791,823,556
  5. Step 5: Solve for x
    x = 1,329,791,823,556/749,660
  6. Step 6: Final answer
    x = 1,773,859.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.