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Finding the Third Proportional to 964,771 and 1,418,252

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Solution

The third proportional to 964,771 and 1,418,252 is: 2,084,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,771 : 1,418,252 = 1,418,252 : x
  2. Step 2: Convert to fraction form
    964,771/1,418,252 = 1,418,252/x
  3. Step 3: Cross multiply
    964,771x = 1,418,252 × 1,418,252
  4. Step 4: Simplify right side
    964,771x = 2,011,438,735,504
  5. Step 5: Solve for x
    x = 2,011,438,735,504/964,771
  6. Step 6: Final answer
    x = 2,084,887.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.