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Finding the Third Proportional to 611,160 and 917,892

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Solution

The third proportional to 611,160 and 917,892 is: 1,378,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,160 : 917,892 = 917,892 : x
  2. Step 2: Convert to fraction form
    611,160/917,892 = 917,892/x
  3. Step 3: Cross multiply
    611,160x = 917,892 × 917,892
  4. Step 4: Simplify right side
    611,160x = 842,525,723,664
  5. Step 5: Solve for x
    x = 842,525,723,664/611,160
  6. Step 6: Final answer
    x = 1,378,568.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.