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Finding the Third Proportional to 1,648,515 and 3,499,206

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Solution

The third proportional to 1,648,515 and 3,499,206 is: 7,427,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,515 : 3,499,206 = 3,499,206 : x
  2. Step 2: Convert to fraction form
    1,648,515/3,499,206 = 3,499,206/x
  3. Step 3: Cross multiply
    1,648,515x = 3,499,206 × 3,499,206
  4. Step 4: Simplify right side
    1,648,515x = 12,244,442,630,436
  5. Step 5: Solve for x
    x = 12,244,442,630,436/1,648,515
  6. Step 6: Final answer
    x = 7,427,559.12

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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.