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Finding the Third Proportional to 766,220 and 1,127,088

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Solution

The third proportional to 766,220 and 1,127,088 is: 1,657,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,220 : 1,127,088 = 1,127,088 : x
  2. Step 2: Convert to fraction form
    766,220/1,127,088 = 1,127,088/x
  3. Step 3: Cross multiply
    766,220x = 1,127,088 × 1,127,088
  4. Step 4: Simplify right side
    766,220x = 1,270,327,359,744
  5. Step 5: Solve for x
    x = 1,270,327,359,744/766,220
  6. Step 6: Final answer
    x = 1,657,914.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.