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Finding the Third Proportional to 1,013,421 and 2,202,072

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Solution

The third proportional to 1,013,421 and 2,202,072 is: 4,784,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,421 : 2,202,072 = 2,202,072 : x
  2. Step 2: Convert to fraction form
    1,013,421/2,202,072 = 2,202,072/x
  3. Step 3: Cross multiply
    1,013,421x = 2,202,072 × 2,202,072
  4. Step 4: Simplify right side
    1,013,421x = 4,849,121,093,184
  5. Step 5: Solve for x
    x = 4,849,121,093,184/1,013,421
  6. Step 6: Final answer
    x = 4,784,902.91

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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.