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Finding the Third Proportional to 2,005,235 and 4,175,709

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Solution

The third proportional to 2,005,235 and 4,175,709 is: 8,695,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,235 : 4,175,709 = 4,175,709 : x
  2. Step 2: Convert to fraction form
    2,005,235/4,175,709 = 4,175,709/x
  3. Step 3: Cross multiply
    2,005,235x = 4,175,709 × 4,175,709
  4. Step 4: Simplify right side
    2,005,235x = 17,436,545,652,681
  5. Step 5: Solve for x
    x = 17,436,545,652,681/2,005,235
  6. Step 6: Final answer
    x = 8,695,512.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.