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Finding the Third Proportional to 871,828.88 and 1,847,368.13

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Solution

The third proportional to 871,828.88 and 1,847,368.13 is: 3,914,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,828.88 : 1,847,368.13 = 1,847,368.13 : x
  2. Step 2: Convert to fraction form
    871,828.88/1,847,368.13 = 1,847,368.13/x
  3. Step 3: Cross multiply
    871,828.88x = 1,847,368.13 × 1,847,368.13
  4. Step 4: Simplify right side
    871,828.88x = 3,412,768,989,266.02
  5. Step 5: Solve for x
    x = 3,412,768,989,266.02/871,828.88
  6. Step 6: Final answer
    x = 3,914,494.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.