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Finding the Third Proportional to 873,464 and 1,851,916

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Solution

The third proportional to 873,464 and 1,851,916 is: 3,926,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,464 : 1,851,916 = 1,851,916 : x
  2. Step 2: Convert to fraction form
    873,464/1,851,916 = 1,851,916/x
  3. Step 3: Cross multiply
    873,464x = 1,851,916 × 1,851,916
  4. Step 4: Simplify right side
    873,464x = 3,429,592,871,056
  5. Step 5: Solve for x
    x = 3,429,592,871,056/873,464
  6. Step 6: Final answer
    x = 3,926,427.27

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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.