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Finding the Third Proportional to 883,184 and 1,400,781

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Solution

The third proportional to 883,184 and 1,400,781 is: 2,221,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,184 : 1,400,781 = 1,400,781 : x
  2. Step 2: Convert to fraction form
    883,184/1,400,781 = 1,400,781/x
  3. Step 3: Cross multiply
    883,184x = 1,400,781 × 1,400,781
  4. Step 4: Simplify right side
    883,184x = 1,962,187,409,961
  5. Step 5: Solve for x
    x = 1,962,187,409,961/883,184
  6. Step 6: Final answer
    x = 2,221,719.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.