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Finding the Third Proportional to 591,133 and 917,195

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Solution

The third proportional to 591,133 and 917,195 is: 1,423,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,133 : 917,195 = 917,195 : x
  2. Step 2: Convert to fraction form
    591,133/917,195 = 917,195/x
  3. Step 3: Cross multiply
    591,133x = 917,195 × 917,195
  4. Step 4: Simplify right side
    591,133x = 841,246,668,025
  5. Step 5: Solve for x
    x = 841,246,668,025/591,133
  6. Step 6: Final answer
    x = 1,423,108.96

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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.