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Finding the Third Proportional to 439,709 and 963,588

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Solution

The third proportional to 439,709 and 963,588 is: 2,111,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,709 : 963,588 = 963,588 : x
  2. Step 2: Convert to fraction form
    439,709/963,588 = 963,588/x
  3. Step 3: Cross multiply
    439,709x = 963,588 × 963,588
  4. Step 4: Simplify right side
    439,709x = 928,501,833,744
  5. Step 5: Solve for x
    x = 928,501,833,744/439,709
  6. Step 6: Final answer
    x = 2,111,627.99

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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.