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Finding the Third Proportional to 1,934,768 and 4,497,206

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Solution

The third proportional to 1,934,768 and 4,497,206 is: 10,453,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934,768 : 4,497,206 = 4,497,206 : x
  2. Step 2: Convert to fraction form
    1,934,768/4,497,206 = 4,497,206/x
  3. Step 3: Cross multiply
    1,934,768x = 4,497,206 × 4,497,206
  4. Step 4: Simplify right side
    1,934,768x = 20,224,861,806,436
  5. Step 5: Solve for x
    x = 20,224,861,806,436/1,934,768
  6. Step 6: Final answer
    x = 10,453,378.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.