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Finding the Third Proportional to 1,819,670 and 3,894,953

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Solution

The third proportional to 1,819,670 and 3,894,953 is: 8,337,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,670 : 3,894,953 = 3,894,953 : x
  2. Step 2: Convert to fraction form
    1,819,670/3,894,953 = 3,894,953/x
  3. Step 3: Cross multiply
    1,819,670x = 3,894,953 × 3,894,953
  4. Step 4: Simplify right side
    1,819,670x = 15,170,658,872,209
  5. Step 5: Solve for x
    x = 15,170,658,872,209/1,819,670
  6. Step 6: Final answer
    x = 8,337,038.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.