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Finding the Third Proportional to 1,569,695 and 3,390,286

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Solution

The third proportional to 1,569,695 and 3,390,286 is: 7,322,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,695 : 3,390,286 = 3,390,286 : x
  2. Step 2: Convert to fraction form
    1,569,695/3,390,286 = 3,390,286/x
  3. Step 3: Cross multiply
    1,569,695x = 3,390,286 × 3,390,286
  4. Step 4: Simplify right side
    1,569,695x = 11,494,039,161,796
  5. Step 5: Solve for x
    x = 11,494,039,161,796/1,569,695
  6. Step 6: Final answer
    x = 7,322,466.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.