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Finding the Third Proportional to 443,328 and 972,864

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Solution

The third proportional to 443,328 and 972,864 is: 2,134,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,328 : 972,864 = 972,864 : x
  2. Step 2: Convert to fraction form
    443,328/972,864 = 972,864/x
  3. Step 3: Cross multiply
    443,328x = 972,864 × 972,864
  4. Step 4: Simplify right side
    443,328x = 946,464,362,496
  5. Step 5: Solve for x
    x = 946,464,362,496/443,328
  6. Step 6: Final answer
    x = 2,134,907.70

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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.