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Finding the Third Proportional to 2,091,584 and 4,434,310

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Solution

The third proportional to 2,091,584 and 4,434,310 is: 9,401,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,584 : 4,434,310 = 4,434,310 : x
  2. Step 2: Convert to fraction form
    2,091,584/4,434,310 = 4,434,310/x
  3. Step 3: Cross multiply
    2,091,584x = 4,434,310 × 4,434,310
  4. Step 4: Simplify right side
    2,091,584x = 19,663,105,176,100
  5. Step 5: Solve for x
    x = 19,663,105,176,100/2,091,584
  6. Step 6: Final answer
    x = 9,401,059.28

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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.