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Finding the Third Proportional to 591,478 and 1,292,413

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Solution

The third proportional to 591,478 and 1,292,413 is: 2,823,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,478 : 1,292,413 = 1,292,413 : x
  2. Step 2: Convert to fraction form
    591,478/1,292,413 = 1,292,413/x
  3. Step 3: Cross multiply
    591,478x = 1,292,413 × 1,292,413
  4. Step 4: Simplify right side
    591,478x = 1,670,331,362,569
  5. Step 5: Solve for x
    x = 1,670,331,362,569/591,478
  6. Step 6: Final answer
    x = 2,823,995.76

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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.