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Finding the Third Proportional to 747,133 and 1,599,242

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Solution

The third proportional to 747,133 and 1,599,242 is: 3,423,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,133 : 1,599,242 = 1,599,242 : x
  2. Step 2: Convert to fraction form
    747,133/1,599,242 = 1,599,242/x
  3. Step 3: Cross multiply
    747,133x = 1,599,242 × 1,599,242
  4. Step 4: Simplify right side
    747,133x = 2,557,574,974,564
  5. Step 5: Solve for x
    x = 2,557,574,974,564/747,133
  6. Step 6: Final answer
    x = 3,423,185.66

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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.