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Finding the Third Proportional to 1,013,142 and 2,194,410

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Solution

The third proportional to 1,013,142 and 2,194,410 is: 4,752,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,142 : 2,194,410 = 2,194,410 : x
  2. Step 2: Convert to fraction form
    1,013,142/2,194,410 = 2,194,410/x
  3. Step 3: Cross multiply
    1,013,142x = 2,194,410 × 2,194,410
  4. Step 4: Simplify right side
    1,013,142x = 4,815,435,248,100
  5. Step 5: Solve for x
    x = 4,815,435,248,100/1,013,142
  6. Step 6: Final answer
    x = 4,752,971.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.