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Finding the Third Proportional to 1,574,469 and 3,248,307

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Solution

The third proportional to 1,574,469 and 3,248,307 is: 6,701,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,469 : 3,248,307 = 3,248,307 : x
  2. Step 2: Convert to fraction form
    1,574,469/3,248,307 = 3,248,307/x
  3. Step 3: Cross multiply
    1,574,469x = 3,248,307 × 3,248,307
  4. Step 4: Simplify right side
    1,574,469x = 10,551,498,366,249
  5. Step 5: Solve for x
    x = 10,551,498,366,249/1,574,469
  6. Step 6: Final answer
    x = 6,701,623.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.