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Finding the Third Proportional to 913,000 and 1,419,336

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Solution

The third proportional to 913,000 and 1,419,336 is: 2,206,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,000 : 1,419,336 = 1,419,336 : x
  2. Step 2: Convert to fraction form
    913,000/1,419,336 = 1,419,336/x
  3. Step 3: Cross multiply
    913,000x = 1,419,336 × 1,419,336
  4. Step 4: Simplify right side
    913,000x = 2,014,514,680,896
  5. Step 5: Solve for x
    x = 2,014,514,680,896/913,000
  6. Step 6: Final answer
    x = 2,206,478.29

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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.