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Finding the Third Proportional to 1,745,184 and 2,560,320

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Solution

The third proportional to 1,745,184 and 2,560,320 is: 3,756,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,184 : 2,560,320 = 2,560,320 : x
  2. Step 2: Convert to fraction form
    1,745,184/2,560,320 = 2,560,320/x
  3. Step 3: Cross multiply
    1,745,184x = 2,560,320 × 2,560,320
  4. Step 4: Simplify right side
    1,745,184x = 6,555,238,502,400
  5. Step 5: Solve for x
    x = 6,555,238,502,400/1,745,184
  6. Step 6: Final answer
    x = 3,756,187.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.