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Finding the Third Proportional to 767,253 and 1,161,540

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Solution

The third proportional to 767,253 and 1,161,540 is: 1,758,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,253 : 1,161,540 = 1,161,540 : x
  2. Step 2: Convert to fraction form
    767,253/1,161,540 = 1,161,540/x
  3. Step 3: Cross multiply
    767,253x = 1,161,540 × 1,161,540
  4. Step 4: Simplify right side
    767,253x = 1,349,175,171,600
  5. Step 5: Solve for x
    x = 1,349,175,171,600/767,253
  6. Step 6: Final answer
    x = 1,758,448.87

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