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Finding the Third Proportional to 945,040 and 2,021,216

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Solution

The third proportional to 945,040 and 2,021,216 is: 4,322,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,040 : 2,021,216 = 2,021,216 : x
  2. Step 2: Convert to fraction form
    945,040/2,021,216 = 2,021,216/x
  3. Step 3: Cross multiply
    945,040x = 2,021,216 × 2,021,216
  4. Step 4: Simplify right side
    945,040x = 4,085,314,118,656
  5. Step 5: Solve for x
    x = 4,085,314,118,656/945,040
  6. Step 6: Final answer
    x = 4,322,900.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.