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Finding the Third Proportional to 1,891,728 and 4,151,358

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Solution

The third proportional to 1,891,728 and 4,151,358 is: 9,110,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,728 : 4,151,358 = 4,151,358 : x
  2. Step 2: Convert to fraction form
    1,891,728/4,151,358 = 4,151,358/x
  3. Step 3: Cross multiply
    1,891,728x = 4,151,358 × 4,151,358
  4. Step 4: Simplify right side
    1,891,728x = 17,233,773,244,164
  5. Step 5: Solve for x
    x = 17,233,773,244,164/1,891,728
  6. Step 6: Final answer
    x = 9,110,069.34

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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.