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Finding the Third Proportional to 615,934.13 and 823,896.56

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Solution

The third proportional to 615,934.13 and 823,896.56 is: 1,102,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,934.13 : 823,896.56 = 823,896.56 : x
  2. Step 2: Convert to fraction form
    615,934.13/823,896.56 = 823,896.56/x
  3. Step 3: Cross multiply
    615,934.13x = 823,896.56 × 823,896.56
  4. Step 4: Simplify right side
    615,934.13x = 678,805,545,699.32
  5. Step 5: Solve for x
    x = 678,805,545,699.32/615,934.13
  6. Step 6: Final answer
    x = 1,102,074.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.