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Finding the Third Proportional to 917,536 and 1,267,868

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Solution

The third proportional to 917,536 and 1,267,868 is: 1,751,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,536 : 1,267,868 = 1,267,868 : x
  2. Step 2: Convert to fraction form
    917,536/1,267,868 = 1,267,868/x
  3. Step 3: Cross multiply
    917,536x = 1,267,868 × 1,267,868
  4. Step 4: Simplify right side
    917,536x = 1,607,489,265,424
  5. Step 5: Solve for x
    x = 1,607,489,265,424/917,536
  6. Step 6: Final answer
    x = 1,751,963.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.