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Finding the Third Proportional to 1,420,419 and 3,051,654

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Solution

The third proportional to 1,420,419 and 3,051,654 is: 6,556,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,419 : 3,051,654 = 3,051,654 : x
  2. Step 2: Convert to fraction form
    1,420,419/3,051,654 = 3,051,654/x
  3. Step 3: Cross multiply
    1,420,419x = 3,051,654 × 3,051,654
  4. Step 4: Simplify right side
    1,420,419x = 9,312,592,135,716
  5. Step 5: Solve for x
    x = 9,312,592,135,716/1,420,419
  6. Step 6: Final answer
    x = 6,556,228.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.