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Finding the Third Proportional to 771,956 and 1,675,952

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Solution

The third proportional to 771,956 and 1,675,952 is: 3,638,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,956 : 1,675,952 = 1,675,952 : x
  2. Step 2: Convert to fraction form
    771,956/1,675,952 = 1,675,952/x
  3. Step 3: Cross multiply
    771,956x = 1,675,952 × 1,675,952
  4. Step 4: Simplify right side
    771,956x = 2,808,815,106,304
  5. Step 5: Solve for x
    x = 2,808,815,106,304/771,956
  6. Step 6: Final answer
    x = 3,638,568.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.