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Finding the Third Proportional to 782,362.13 and 1,714,213.13

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Solution

The third proportional to 782,362.13 and 1,714,213.13 is: 3,755,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,362.13 : 1,714,213.13 = 1,714,213.13 : x
  2. Step 2: Convert to fraction form
    782,362.13/1,714,213.13 = 1,714,213.13/x
  3. Step 3: Cross multiply
    782,362.13x = 1,714,213.13 × 1,714,213.13
  4. Step 4: Simplify right side
    782,362.13x = 2,938,526,637,922.27
  5. Step 5: Solve for x
    x = 2,938,526,637,922.27/782,362.13
  6. Step 6: Final answer
    x = 3,755,967.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.