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Finding the Third Proportional to 442,791 and 917,088

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Solution

The third proportional to 442,791 and 917,088 is: 1,899,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,791 : 917,088 = 917,088 : x
  2. Step 2: Convert to fraction form
    442,791/917,088 = 917,088/x
  3. Step 3: Cross multiply
    442,791x = 917,088 × 917,088
  4. Step 4: Simplify right side
    442,791x = 841,050,399,744
  5. Step 5: Solve for x
    x = 841,050,399,744/442,791
  6. Step 6: Final answer
    x = 1,899,429.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.