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Finding the Third Proportional to 714,180 and 1,106,748

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Solution

The third proportional to 714,180 and 1,106,748 is: 1,715,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,180 : 1,106,748 = 1,106,748 : x
  2. Step 2: Convert to fraction form
    714,180/1,106,748 = 1,106,748/x
  3. Step 3: Cross multiply
    714,180x = 1,106,748 × 1,106,748
  4. Step 4: Simplify right side
    714,180x = 1,224,891,135,504
  5. Step 5: Solve for x
    x = 1,224,891,135,504/714,180
  6. Step 6: Final answer
    x = 1,715,101.42

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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.