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Finding the Third Proportional to 2,152,548 and 4,567,482

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Solution

The third proportional to 2,152,548 and 4,567,482 is: 9,691,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,548 : 4,567,482 = 4,567,482 : x
  2. Step 2: Convert to fraction form
    2,152,548/4,567,482 = 4,567,482/x
  3. Step 3: Cross multiply
    2,152,548x = 4,567,482 × 4,567,482
  4. Step 4: Simplify right side
    2,152,548x = 20,861,891,820,324
  5. Step 5: Solve for x
    x = 20,861,891,820,324/2,152,548
  6. Step 6: Final answer
    x = 9,691,719.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.