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Finding the Third Proportional to 1,678,239 and 2,581,073

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Solution

The third proportional to 1,678,239 and 2,581,073 is: 3,969,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,239 : 2,581,073 = 2,581,073 : x
  2. Step 2: Convert to fraction form
    1,678,239/2,581,073 = 2,581,073/x
  3. Step 3: Cross multiply
    1,678,239x = 2,581,073 × 2,581,073
  4. Step 4: Simplify right side
    1,678,239x = 6,661,937,831,329
  5. Step 5: Solve for x
    x = 6,661,937,831,329/1,678,239
  6. Step 6: Final answer
    x = 3,969,600.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.