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Finding the Third Proportional to 971,246 and 1,520,223

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Solution

The third proportional to 971,246 and 1,520,223 is: 2,379,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,246 : 1,520,223 = 1,520,223 : x
  2. Step 2: Convert to fraction form
    971,246/1,520,223 = 1,520,223/x
  3. Step 3: Cross multiply
    971,246x = 1,520,223 × 1,520,223
  4. Step 4: Simplify right side
    971,246x = 2,311,077,969,729
  5. Step 5: Solve for x
    x = 2,311,077,969,729/971,246
  6. Step 6: Final answer
    x = 2,379,498.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.