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Finding the Third Proportional to 591,137 and 917,202

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Solution

The third proportional to 591,137 and 917,202 is: 1,423,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,137 : 917,202 = 917,202 : x
  2. Step 2: Convert to fraction form
    591,137/917,202 = 917,202/x
  3. Step 3: Cross multiply
    591,137x = 917,202 × 917,202
  4. Step 4: Simplify right side
    591,137x = 841,259,508,804
  5. Step 5: Solve for x
    x = 841,259,508,804/591,137
  6. Step 6: Final answer
    x = 1,423,121.05

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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.