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Finding the Third Proportional to 912,903 and 1,970,147

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Solution

The third proportional to 912,903 and 1,970,147 is: 4,251,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,903 : 1,970,147 = 1,970,147 : x
  2. Step 2: Convert to fraction form
    912,903/1,970,147 = 1,970,147/x
  3. Step 3: Cross multiply
    912,903x = 1,970,147 × 1,970,147
  4. Step 4: Simplify right side
    912,903x = 3,881,479,201,609
  5. Step 5: Solve for x
    x = 3,881,479,201,609/912,903
  6. Step 6: Final answer
    x = 4,251,798.06

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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.