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Finding the Third Proportional to 1,484,236 and 3,178,352

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Solution

The third proportional to 1,484,236 and 3,178,352 is: 6,806,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484,236 : 3,178,352 = 3,178,352 : x
  2. Step 2: Convert to fraction form
    1,484,236/3,178,352 = 3,178,352/x
  3. Step 3: Cross multiply
    1,484,236x = 3,178,352 × 3,178,352
  4. Step 4: Simplify right side
    1,484,236x = 10,101,921,435,904
  5. Step 5: Solve for x
    x = 10,101,921,435,904/1,484,236
  6. Step 6: Final answer
    x = 6,806,142.31

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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.