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Finding the Third Proportional to 767,266 and 1,161,559

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Solution

The third proportional to 767,266 and 1,161,559 is: 1,758,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,266 : 1,161,559 = 1,161,559 : x
  2. Step 2: Convert to fraction form
    767,266/1,161,559 = 1,161,559/x
  3. Step 3: Cross multiply
    767,266x = 1,161,559 × 1,161,559
  4. Step 4: Simplify right side
    767,266x = 1,349,219,310,481
  5. Step 5: Solve for x
    x = 1,349,219,310,481/767,266
  6. Step 6: Final answer
    x = 1,758,476.60

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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.