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Finding the Third Proportional to 765,938 and 1,169,643

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Solution

The third proportional to 765,938 and 1,169,643 is: 1,786,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,938 : 1,169,643 = 1,169,643 : x
  2. Step 2: Convert to fraction form
    765,938/1,169,643 = 1,169,643/x
  3. Step 3: Cross multiply
    765,938x = 1,169,643 × 1,169,643
  4. Step 4: Simplify right side
    765,938x = 1,368,064,747,449
  5. Step 5: Solve for x
    x = 1,368,064,747,449/765,938
  6. Step 6: Final answer
    x = 1,786,129.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.