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Finding the Third Proportional to 1,429,150 and 3,065,518

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Solution

The third proportional to 1,429,150 and 3,065,518 is: 6,575,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,150 : 3,065,518 = 3,065,518 : x
  2. Step 2: Convert to fraction form
    1,429,150/3,065,518 = 3,065,518/x
  3. Step 3: Cross multiply
    1,429,150x = 3,065,518 × 3,065,518
  4. Step 4: Simplify right side
    1,429,150x = 9,397,400,608,324
  5. Step 5: Solve for x
    x = 9,397,400,608,324/1,429,150
  6. Step 6: Final answer
    x = 6,575,517.34

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