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Finding the Third Proportional to 522,072 and 1,127,088

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Solution

The third proportional to 522,072 and 1,127,088 is: 2,433,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,072 : 1,127,088 = 1,127,088 : x
  2. Step 2: Convert to fraction form
    522,072/1,127,088 = 1,127,088/x
  3. Step 3: Cross multiply
    522,072x = 1,127,088 × 1,127,088
  4. Step 4: Simplify right side
    522,072x = 1,270,327,359,744
  5. Step 5: Solve for x
    x = 1,270,327,359,744/522,072
  6. Step 6: Final answer
    x = 2,433,241.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.