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Finding the Third Proportional to 1,363,746 and 2,871,267

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Solution

The third proportional to 1,363,746 and 2,871,267 is: 6,045,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,746 : 2,871,267 = 2,871,267 : x
  2. Step 2: Convert to fraction form
    1,363,746/2,871,267 = 2,871,267/x
  3. Step 3: Cross multiply
    1,363,746x = 2,871,267 × 2,871,267
  4. Step 4: Simplify right side
    1,363,746x = 8,244,174,185,289
  5. Step 5: Solve for x
    x = 8,244,174,185,289/1,363,746
  6. Step 6: Final answer
    x = 6,045,241.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.