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Finding the Third Proportional to 945,810 and 1,415,259

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Solution

The third proportional to 945,810 and 1,415,259 is: 2,117,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,810 : 1,415,259 = 1,415,259 : x
  2. Step 2: Convert to fraction form
    945,810/1,415,259 = 1,415,259/x
  3. Step 3: Cross multiply
    945,810x = 1,415,259 × 1,415,259
  4. Step 4: Simplify right side
    945,810x = 2,002,958,037,081
  5. Step 5: Solve for x
    x = 2,002,958,037,081/945,810
  6. Step 6: Final answer
    x = 2,117,717.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.