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Finding the Third Proportional to 439,724 and 963,607

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Solution

The third proportional to 439,724 and 963,607 is: 2,111,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,724 : 963,607 = 963,607 : x
  2. Step 2: Convert to fraction form
    439,724/963,607 = 963,607/x
  3. Step 3: Cross multiply
    439,724x = 963,607 × 963,607
  4. Step 4: Simplify right side
    439,724x = 928,538,450,449
  5. Step 5: Solve for x
    x = 928,538,450,449/439,724
  6. Step 6: Final answer
    x = 2,111,639.23

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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.