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Finding the Third Proportional to 1,532,859 and 3,224,514

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Solution

The third proportional to 1,532,859 and 3,224,514 is: 6,783,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,859 : 3,224,514 = 3,224,514 : x
  2. Step 2: Convert to fraction form
    1,532,859/3,224,514 = 3,224,514/x
  3. Step 3: Cross multiply
    1,532,859x = 3,224,514 × 3,224,514
  4. Step 4: Simplify right side
    1,532,859x = 10,397,490,536,196
  5. Step 5: Solve for x
    x = 10,397,490,536,196/1,532,859
  6. Step 6: Final answer
    x = 6,783,070.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.