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Finding the Third Proportional to 957,678.19 and 1,959,643.13

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Solution

The third proportional to 957,678.19 and 1,959,643.13 is: 4,009,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,678.19 : 1,959,643.13 = 1,959,643.13 : x
  2. Step 2: Convert to fraction form
    957,678.19/1,959,643.13 = 1,959,643.13/x
  3. Step 3: Cross multiply
    957,678.19x = 1,959,643.13 × 1,959,643.13
  4. Step 4: Simplify right side
    957,678.19x = 3,840,201,177,359.77
  5. Step 5: Solve for x
    x = 3,840,201,177,359.77/957,678.19
  6. Step 6: Final answer
    x = 4,009,907.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.