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Finding the Third Proportional to 1,702,714.50 and 3,663,738

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Solution

The third proportional to 1,702,714.50 and 3,663,738 is: 7,883,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,714.50 : 3,663,738 = 3,663,738 : x
  2. Step 2: Convert to fraction form
    1,702,714.50/3,663,738 = 3,663,738/x
  3. Step 3: Cross multiply
    1,702,714.50x = 3,663,738 × 3,663,738
  4. Step 4: Simplify right side
    1,702,714.50x = 13,422,976,132,644
  5. Step 5: Solve for x
    x = 13,422,976,132,644/1,702,714.50
  6. Step 6: Final answer
    x = 7,883,280.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.