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Finding the Third Proportional to 765,943 and 1,169,651

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Solution

The third proportional to 765,943 and 1,169,651 is: 1,786,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,943 : 1,169,651 = 1,169,651 : x
  2. Step 2: Convert to fraction form
    765,943/1,169,651 = 1,169,651/x
  3. Step 3: Cross multiply
    765,943x = 1,169,651 × 1,169,651
  4. Step 4: Simplify right side
    765,943x = 1,368,083,461,801
  5. Step 5: Solve for x
    x = 1,368,083,461,801/765,943
  6. Step 6: Final answer
    x = 1,786,142.65

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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.