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Finding the Third Proportional to 591,127.50 and 917,187

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Solution

The third proportional to 591,127.50 and 917,187 is: 1,423,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,127.50 : 917,187 = 917,187 : x
  2. Step 2: Convert to fraction form
    591,127.50/917,187 = 917,187/x
  3. Step 3: Cross multiply
    591,127.50x = 917,187 × 917,187
  4. Step 4: Simplify right side
    591,127.50x = 841,231,992,969
  5. Step 5: Solve for x
    x = 841,231,992,969/591,127.50
  6. Step 6: Final answer
    x = 1,423,097.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.