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Finding the Third Proportional to 591,135 and 917,199

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Solution

The third proportional to 591,135 and 917,199 is: 1,423,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,135 : 917,199 = 917,199 : x
  2. Step 2: Convert to fraction form
    591,135/917,199 = 917,199/x
  3. Step 3: Cross multiply
    591,135x = 917,199 × 917,199
  4. Step 4: Simplify right side
    591,135x = 841,254,005,601
  5. Step 5: Solve for x
    x = 841,254,005,601/591,135
  6. Step 6: Final answer
    x = 1,423,116.56

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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.