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Finding the Third Proportional to 695,841 and 1,077,431

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Solution

The third proportional to 695,841 and 1,077,431 is: 1,668,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,841 : 1,077,431 = 1,077,431 : x
  2. Step 2: Convert to fraction form
    695,841/1,077,431 = 1,077,431/x
  3. Step 3: Cross multiply
    695,841x = 1,077,431 × 1,077,431
  4. Step 4: Simplify right side
    695,841x = 1,160,857,559,761
  5. Step 5: Solve for x
    x = 1,160,857,559,761/695,841
  6. Step 6: Final answer
    x = 1,668,279.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.