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Finding the Third Proportional to 2,031,216 and 4,342,368

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Solution

The third proportional to 2,031,216 and 4,342,368 is: 9,283,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,216 : 4,342,368 = 4,342,368 : x
  2. Step 2: Convert to fraction form
    2,031,216/4,342,368 = 4,342,368/x
  3. Step 3: Cross multiply
    2,031,216x = 4,342,368 × 4,342,368
  4. Step 4: Simplify right side
    2,031,216x = 18,856,159,847,424
  5. Step 5: Solve for x
    x = 18,856,159,847,424/2,031,216
  6. Step 6: Final answer
    x = 9,283,187.93

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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.