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Finding the Third Proportional to 750,099 and 1,161,786

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Solution

The third proportional to 750,099 and 1,161,786 is: 1,799,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,099 : 1,161,786 = 1,161,786 : x
  2. Step 2: Convert to fraction form
    750,099/1,161,786 = 1,161,786/x
  3. Step 3: Cross multiply
    750,099x = 1,161,786 × 1,161,786
  4. Step 4: Simplify right side
    750,099x = 1,349,746,709,796
  5. Step 5: Solve for x
    x = 1,349,746,709,796/750,099
  6. Step 6: Final answer
    x = 1,799,424.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.