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Finding the Third Proportional to 971,314.50 and 1,470,519

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Solution

The third proportional to 971,314.50 and 1,470,519 is: 2,226,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,314.50 : 1,470,519 = 1,470,519 : x
  2. Step 2: Convert to fraction form
    971,314.50/1,470,519 = 1,470,519/x
  3. Step 3: Cross multiply
    971,314.50x = 1,470,519 × 1,470,519
  4. Step 4: Simplify right side
    971,314.50x = 2,162,426,129,361
  5. Step 5: Solve for x
    x = 2,162,426,129,361/971,314.50
  6. Step 6: Final answer
    x = 2,226,288.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.