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Finding the Third Proportional to 627,770 and 1,341,724

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Solution

The third proportional to 627,770 and 1,341,724 is: 2,867,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,770 : 1,341,724 = 1,341,724 : x
  2. Step 2: Convert to fraction form
    627,770/1,341,724 = 1,341,724/x
  3. Step 3: Cross multiply
    627,770x = 1,341,724 × 1,341,724
  4. Step 4: Simplify right side
    627,770x = 1,800,223,292,176
  5. Step 5: Solve for x
    x = 1,800,223,292,176/627,770
  6. Step 6: Final answer
    x = 2,867,647.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.