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Finding the Third Proportional to 969,415 and 2,070,774

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Solution

The third proportional to 969,415 and 2,070,774 is: 4,423,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,415 : 2,070,774 = 2,070,774 : x
  2. Step 2: Convert to fraction form
    969,415/2,070,774 = 2,070,774/x
  3. Step 3: Cross multiply
    969,415x = 2,070,774 × 2,070,774
  4. Step 4: Simplify right side
    969,415x = 4,288,104,959,076
  5. Step 5: Solve for x
    x = 4,288,104,959,076/969,415
  6. Step 6: Final answer
    x = 4,423,394.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.