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Finding the Third Proportional to 1,035,890 and 2,263,909

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Solution

The third proportional to 1,035,890 and 2,263,909 is: 4,947,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,890 : 2,263,909 = 2,263,909 : x
  2. Step 2: Convert to fraction form
    1,035,890/2,263,909 = 2,263,909/x
  3. Step 3: Cross multiply
    1,035,890x = 2,263,909 × 2,263,909
  4. Step 4: Simplify right side
    1,035,890x = 5,125,283,960,281
  5. Step 5: Solve for x
    x = 5,125,283,960,281/1,035,890
  6. Step 6: Final answer
    x = 4,947,710.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.