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Finding the Third Proportional to 945,036 and 2,021,208

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Solution

The third proportional to 945,036 and 2,021,208 is: 4,322,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,036 : 2,021,208 = 2,021,208 : x
  2. Step 2: Convert to fraction form
    945,036/2,021,208 = 2,021,208/x
  3. Step 3: Cross multiply
    945,036x = 2,021,208 × 2,021,208
  4. Step 4: Simplify right side
    945,036x = 4,085,281,779,264
  5. Step 5: Solve for x
    x = 4,085,281,779,264/945,036
  6. Step 6: Final answer
    x = 4,322,884.82

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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.