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Finding the Third Proportional to 726,090.75 and 1,578,116.25

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Solution

The third proportional to 726,090.75 and 1,578,116.25 is: 3,429,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,090.75 : 1,578,116.25 = 1,578,116.25 : x
  2. Step 2: Convert to fraction form
    726,090.75/1,578,116.25 = 1,578,116.25/x
  3. Step 3: Cross multiply
    726,090.75x = 1,578,116.25 × 1,578,116.25
  4. Step 4: Simplify right side
    726,090.75x = 2,490,450,898,514.06
  5. Step 5: Solve for x
    x = 2,490,450,898,514.06/726,090.75
  6. Step 6: Final answer
    x = 3,429,944.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.