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Finding the Third Proportional to 555,014 and 1,196,464

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Solution

The third proportional to 555,014 and 1,196,464 is: 2,579,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,014 : 1,196,464 = 1,196,464 : x
  2. Step 2: Convert to fraction form
    555,014/1,196,464 = 1,196,464/x
  3. Step 3: Cross multiply
    555,014x = 1,196,464 × 1,196,464
  4. Step 4: Simplify right side
    555,014x = 1,431,526,103,296
  5. Step 5: Solve for x
    x = 1,431,526,103,296/555,014
  6. Step 6: Final answer
    x = 2,579,261.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.