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Finding the Third Proportional to 1,454,126 and 3,106,169

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Solution

The third proportional to 1,454,126 and 3,106,169 is: 6,635,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,126 : 3,106,169 = 3,106,169 : x
  2. Step 2: Convert to fraction form
    1,454,126/3,106,169 = 3,106,169/x
  3. Step 3: Cross multiply
    1,454,126x = 3,106,169 × 3,106,169
  4. Step 4: Simplify right side
    1,454,126x = 9,648,285,856,561
  5. Step 5: Solve for x
    x = 9,648,285,856,561/1,454,126
  6. Step 6: Final answer
    x = 6,635,109.93

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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.