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Finding the Third Proportional to 771,237 and 1,667,321

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Solution

The third proportional to 771,237 and 1,667,321 is: 3,604,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,237 : 1,667,321 = 1,667,321 : x
  2. Step 2: Convert to fraction form
    771,237/1,667,321 = 1,667,321/x
  3. Step 3: Cross multiply
    771,237x = 1,667,321 × 1,667,321
  4. Step 4: Simplify right side
    771,237x = 2,779,959,317,041
  5. Step 5: Solve for x
    x = 2,779,959,317,041/771,237
  6. Step 6: Final answer
    x = 3,604,546.10

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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.