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Finding the Third Proportional to 443,435 and 972,708

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Solution

The third proportional to 443,435 and 972,708 is: 2,133,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,435 : 972,708 = 972,708 : x
  2. Step 2: Convert to fraction form
    443,435/972,708 = 972,708/x
  3. Step 3: Cross multiply
    443,435x = 972,708 × 972,708
  4. Step 4: Simplify right side
    443,435x = 946,160,853,264
  5. Step 5: Solve for x
    x = 946,160,853,264/443,435
  6. Step 6: Final answer
    x = 2,133,708.10

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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.