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Finding the Third Proportional to 435,811 and 944,008

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Solution

The third proportional to 435,811 and 944,008 is: 2,044,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,811 : 944,008 = 944,008 : x
  2. Step 2: Convert to fraction form
    435,811/944,008 = 944,008/x
  3. Step 3: Cross multiply
    435,811x = 944,008 × 944,008
  4. Step 4: Simplify right side
    435,811x = 891,151,104,064
  5. Step 5: Solve for x
    x = 891,151,104,064/435,811
  6. Step 6: Final answer
    x = 2,044,810.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.