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Finding the Third Proportional to 701,952.75 and 1,026,604.13

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Solution

The third proportional to 701,952.75 and 1,026,604.13 is: 1,501,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,952.75 : 1,026,604.13 = 1,026,604.13 : x
  2. Step 2: Convert to fraction form
    701,952.75/1,026,604.13 = 1,026,604.13/x
  3. Step 3: Cross multiply
    701,952.75x = 1,026,604.13 × 1,026,604.13
  4. Step 4: Simplify right side
    701,952.75x = 1,053,916,029,467.02
  5. Step 5: Solve for x
    x = 1,053,916,029,467.02/701,952.75
  6. Step 6: Final answer
    x = 1,501,405.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.