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Finding the Third Proportional to 1,798,470 and 3,763,224

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Solution

The third proportional to 1,798,470 and 3,763,224 is: 7,874,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,470 : 3,763,224 = 3,763,224 : x
  2. Step 2: Convert to fraction form
    1,798,470/3,763,224 = 3,763,224/x
  3. Step 3: Cross multiply
    1,798,470x = 3,763,224 × 3,763,224
  4. Step 4: Simplify right side
    1,798,470x = 14,161,854,874,176
  5. Step 5: Solve for x
    x = 14,161,854,874,176/1,798,470
  6. Step 6: Final answer
    x = 7,874,390.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.