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Finding the Third Proportional to 1,749,400 and 2,610,597

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Solution

The third proportional to 1,749,400 and 2,610,597 is: 3,895,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,400 : 2,610,597 = 2,610,597 : x
  2. Step 2: Convert to fraction form
    1,749,400/2,610,597 = 2,610,597/x
  3. Step 3: Cross multiply
    1,749,400x = 2,610,597 × 2,610,597
  4. Step 4: Simplify right side
    1,749,400x = 6,815,216,696,409
  5. Step 5: Solve for x
    x = 6,815,216,696,409/1,749,400
  6. Step 6: Final answer
    x = 3,895,745.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.