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Finding the Third Proportional to 449,668 and 963,438

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Solution

The third proportional to 449,668 and 963,438 is: 2,064,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,668 : 963,438 = 963,438 : x
  2. Step 2: Convert to fraction form
    449,668/963,438 = 963,438/x
  3. Step 3: Cross multiply
    449,668x = 963,438 × 963,438
  4. Step 4: Simplify right side
    449,668x = 928,212,779,844
  5. Step 5: Solve for x
    x = 928,212,779,844/449,668
  6. Step 6: Final answer
    x = 2,064,218.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.