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Finding the Third Proportional to 443,442 and 972,723

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Solution

The third proportional to 443,442 and 972,723 is: 2,133,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,442 : 972,723 = 972,723 : x
  2. Step 2: Convert to fraction form
    443,442/972,723 = 972,723/x
  3. Step 3: Cross multiply
    443,442x = 972,723 × 972,723
  4. Step 4: Simplify right side
    443,442x = 946,190,034,729
  5. Step 5: Solve for x
    x = 946,190,034,729/443,442
  6. Step 6: Final answer
    x = 2,133,740.23

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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.