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Finding the Third Proportional to 1,146,000 and 2,386,180

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Solution

The third proportional to 1,146,000 and 2,386,180 is: 4,968,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,000 : 2,386,180 = 2,386,180 : x
  2. Step 2: Convert to fraction form
    1,146,000/2,386,180 = 2,386,180/x
  3. Step 3: Cross multiply
    1,146,000x = 2,386,180 × 2,386,180
  4. Step 4: Simplify right side
    1,146,000x = 5,693,854,992,400
  5. Step 5: Solve for x
    x = 5,693,854,992,400/1,146,000
  6. Step 6: Final answer
    x = 4,968,459.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.