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Finding the Third Proportional to 1,293,306 and 2,818,236

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Solution

The third proportional to 1,293,306 and 2,818,236 is: 6,141,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,306 : 2,818,236 = 2,818,236 : x
  2. Step 2: Convert to fraction form
    1,293,306/2,818,236 = 2,818,236/x
  3. Step 3: Cross multiply
    1,293,306x = 2,818,236 × 2,818,236
  4. Step 4: Simplify right side
    1,293,306x = 7,942,454,151,696
  5. Step 5: Solve for x
    x = 7,942,454,151,696/1,293,306
  6. Step 6: Final answer
    x = 6,141,202.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.