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Finding the Third Proportional to 1,345,069 and 2,902,624

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Solution

The third proportional to 1,345,069 and 2,902,624 is: 6,263,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,069 : 2,902,624 = 2,902,624 : x
  2. Step 2: Convert to fraction form
    1,345,069/2,902,624 = 2,902,624/x
  3. Step 3: Cross multiply
    1,345,069x = 2,902,624 × 2,902,624
  4. Step 4: Simplify right side
    1,345,069x = 8,425,226,085,376
  5. Step 5: Solve for x
    x = 8,425,226,085,376/1,345,069
  6. Step 6: Final answer
    x = 6,263,787.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.