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Finding the Third Proportional to 439,160 and 944,896

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Solution

The third proportional to 439,160 and 944,896 is: 2,033,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,160 : 944,896 = 944,896 : x
  2. Step 2: Convert to fraction form
    439,160/944,896 = 944,896/x
  3. Step 3: Cross multiply
    439,160x = 944,896 × 944,896
  4. Step 4: Simplify right side
    439,160x = 892,828,450,816
  5. Step 5: Solve for x
    x = 892,828,450,816/439,160
  6. Step 6: Final answer
    x = 2,033,036.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.