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Finding the Third Proportional to 439,707 and 963,584

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Solution

The third proportional to 439,707 and 963,584 is: 2,111,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,707 : 963,584 = 963,584 : x
  2. Step 2: Convert to fraction form
    439,707/963,584 = 963,584/x
  3. Step 3: Cross multiply
    439,707x = 963,584 × 963,584
  4. Step 4: Simplify right side
    439,707x = 928,494,125,056
  5. Step 5: Solve for x
    x = 928,494,125,056/439,707
  6. Step 6: Final answer
    x = 2,111,620.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.