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Finding the Third Proportional to 449,428 and 961,064

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Solution

The third proportional to 449,428 and 961,064 is: 2,055,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,428 : 961,064 = 961,064 : x
  2. Step 2: Convert to fraction form
    449,428/961,064 = 961,064/x
  3. Step 3: Cross multiply
    449,428x = 961,064 × 961,064
  4. Step 4: Simplify right side
    449,428x = 923,644,012,096
  5. Step 5: Solve for x
    x = 923,644,012,096/449,428
  6. Step 6: Final answer
    x = 2,055,154.58

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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.