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Finding the Third Proportional to 771,268 and 1,667,312

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Solution

The third proportional to 771,268 and 1,667,312 is: 3,604,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,268 : 1,667,312 = 1,667,312 : x
  2. Step 2: Convert to fraction form
    771,268/1,667,312 = 1,667,312/x
  3. Step 3: Cross multiply
    771,268x = 1,667,312 × 1,667,312
  4. Step 4: Simplify right side
    771,268x = 2,779,929,305,344
  5. Step 5: Solve for x
    x = 2,779,929,305,344/771,268
  6. Step 6: Final answer
    x = 3,604,362.30

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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.