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Finding the Third Proportional to 591,338 and 1,294,209

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Solution

The third proportional to 591,338 and 1,294,209 is: 2,832,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,338 : 1,294,209 = 1,294,209 : x
  2. Step 2: Convert to fraction form
    591,338/1,294,209 = 1,294,209/x
  3. Step 3: Cross multiply
    591,338x = 1,294,209 × 1,294,209
  4. Step 4: Simplify right side
    591,338x = 1,674,976,935,681
  5. Step 5: Solve for x
    x = 1,674,976,935,681/591,338
  6. Step 6: Final answer
    x = 2,832,520.38

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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.