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Finding the Third Proportional to 945,203 and 2,074,114

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Solution

The third proportional to 945,203 and 2,074,114 is: 4,551,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,203 : 2,074,114 = 2,074,114 : x
  2. Step 2: Convert to fraction form
    945,203/2,074,114 = 2,074,114/x
  3. Step 3: Cross multiply
    945,203x = 2,074,114 × 2,074,114
  4. Step 4: Simplify right side
    945,203x = 4,301,948,884,996
  5. Step 5: Solve for x
    x = 4,301,948,884,996/945,203
  6. Step 6: Final answer
    x = 4,551,349.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.