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Finding the Third Proportional to 1,427,657 and 2,102,011

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Solution

The third proportional to 1,427,657 and 2,102,011 is: 3,094,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,657 : 2,102,011 = 2,102,011 : x
  2. Step 2: Convert to fraction form
    1,427,657/2,102,011 = 2,102,011/x
  3. Step 3: Cross multiply
    1,427,657x = 2,102,011 × 2,102,011
  4. Step 4: Simplify right side
    1,427,657x = 4,418,450,244,121
  5. Step 5: Solve for x
    x = 4,418,450,244,121/1,427,657
  6. Step 6: Final answer
    x = 3,094,896.21

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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.