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Finding the Third Proportional to 971,216 and 1,980,952

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Solution

The third proportional to 971,216 and 1,980,952 is: 4,040,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,216 : 1,980,952 = 1,980,952 : x
  2. Step 2: Convert to fraction form
    971,216/1,980,952 = 1,980,952/x
  3. Step 3: Cross multiply
    971,216x = 1,980,952 × 1,980,952
  4. Step 4: Simplify right side
    971,216x = 3,924,170,826,304
  5. Step 5: Solve for x
    x = 3,924,170,826,304/971,216
  6. Step 6: Final answer
    x = 4,040,471.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.