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Finding the Third Proportional to 971,282 and 1,520,323

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Solution

The third proportional to 971,282 and 1,520,323 is: 2,379,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,282 : 1,520,323 = 1,520,323 : x
  2. Step 2: Convert to fraction form
    971,282/1,520,323 = 1,520,323/x
  3. Step 3: Cross multiply
    971,282x = 1,520,323 × 1,520,323
  4. Step 4: Simplify right side
    971,282x = 2,311,382,024,329
  5. Step 5: Solve for x
    x = 2,311,382,024,329/971,282
  6. Step 6: Final answer
    x = 2,379,722.91

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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.