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Finding the Third Proportional to 1,080,144 and 2,363,712

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Solution

The third proportional to 1,080,144 and 2,363,712 is: 5,172,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,144 : 2,363,712 = 2,363,712 : x
  2. Step 2: Convert to fraction form
    1,080,144/2,363,712 = 2,363,712/x
  3. Step 3: Cross multiply
    1,080,144x = 2,363,712 × 2,363,712
  4. Step 4: Simplify right side
    1,080,144x = 5,587,134,418,944
  5. Step 5: Solve for x
    x = 5,587,134,418,944/1,080,144
  6. Step 6: Final answer
    x = 5,172,582.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.