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Finding the Third Proportional to 443,444 and 972,727

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Solution

The third proportional to 443,444 and 972,727 is: 2,133,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,444 : 972,727 = 972,727 : x
  2. Step 2: Convert to fraction form
    443,444/972,727 = 972,727/x
  3. Step 3: Cross multiply
    443,444x = 972,727 × 972,727
  4. Step 4: Simplify right side
    443,444x = 946,197,816,529
  5. Step 5: Solve for x
    x = 946,197,816,529/443,444
  6. Step 6: Final answer
    x = 2,133,748.15

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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.