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Finding the Third Proportional to 1,201,738 and 1,871,583

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Solution

The third proportional to 1,201,738 and 1,871,583 is: 2,914,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,738 : 1,871,583 = 1,871,583 : x
  2. Step 2: Convert to fraction form
    1,201,738/1,871,583 = 1,871,583/x
  3. Step 3: Cross multiply
    1,201,738x = 1,871,583 × 1,871,583
  4. Step 4: Simplify right side
    1,201,738x = 3,502,822,925,889
  5. Step 5: Solve for x
    x = 3,502,822,925,889/1,201,738
  6. Step 6: Final answer
    x = 2,914,797.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.