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Finding the Third Proportional to 1,345,898 and 2,903,125

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Solution

The third proportional to 1,345,898 and 2,903,125 is: 6,262,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,898 : 2,903,125 = 2,903,125 : x
  2. Step 2: Convert to fraction form
    1,345,898/2,903,125 = 2,903,125/x
  3. Step 3: Cross multiply
    1,345,898x = 2,903,125 × 2,903,125
  4. Step 4: Simplify right side
    1,345,898x = 8,428,134,765,625
  5. Step 5: Solve for x
    x = 8,428,134,765,625/1,345,898
  6. Step 6: Final answer
    x = 6,262,090.27

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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.