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Finding the Third Proportional to 1,415,744 and 3,080,320

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Solution

The third proportional to 1,415,744 and 3,080,320 is: 6,702,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,744 : 3,080,320 = 3,080,320 : x
  2. Step 2: Convert to fraction form
    1,415,744/3,080,320 = 3,080,320/x
  3. Step 3: Cross multiply
    1,415,744x = 3,080,320 × 3,080,320
  4. Step 4: Simplify right side
    1,415,744x = 9,488,371,302,400
  5. Step 5: Solve for x
    x = 9,488,371,302,400/1,415,744
  6. Step 6: Final answer
    x = 6,702,038.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.