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Finding the Third Proportional to 2,145,236 and 3,147,726

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Solution

The third proportional to 2,145,236 and 3,147,726 is: 4,618,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,236 : 3,147,726 = 3,147,726 : x
  2. Step 2: Convert to fraction form
    2,145,236/3,147,726 = 3,147,726/x
  3. Step 3: Cross multiply
    2,145,236x = 3,147,726 × 3,147,726
  4. Step 4: Simplify right side
    2,145,236x = 9,908,178,971,076
  5. Step 5: Solve for x
    x = 9,908,178,971,076/2,145,236
  6. Step 6: Final answer
    x = 4,618,689.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.