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Finding the Third Proportional to 1,667,511 and 3,413,646

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Solution

The third proportional to 1,667,511 and 3,413,646 is: 6,988,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667,511 : 3,413,646 = 3,413,646 : x
  2. Step 2: Convert to fraction form
    1,667,511/3,413,646 = 3,413,646/x
  3. Step 3: Cross multiply
    1,667,511x = 3,413,646 × 3,413,646
  4. Step 4: Simplify right side
    1,667,511x = 11,652,979,013,316
  5. Step 5: Solve for x
    x = 11,652,979,013,316/1,667,511
  6. Step 6: Final answer
    x = 6,988,247.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.