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Finding the Third Proportional to 591,475.50 and 1,292,409

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Solution

The third proportional to 591,475.50 and 1,292,409 is: 2,823,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,475.50 : 1,292,409 = 1,292,409 : x
  2. Step 2: Convert to fraction form
    591,475.50/1,292,409 = 1,292,409/x
  3. Step 3: Cross multiply
    591,475.50x = 1,292,409 × 1,292,409
  4. Step 4: Simplify right side
    591,475.50x = 1,670,321,023,281
  5. Step 5: Solve for x
    x = 1,670,321,023,281/591,475.50
  6. Step 6: Final answer
    x = 2,823,990.21

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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.