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Finding the Third Proportional to 754,988 and 1,143,477

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Solution

The third proportional to 754,988 and 1,143,477 is: 1,731,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,988 : 1,143,477 = 1,143,477 : x
  2. Step 2: Convert to fraction form
    754,988/1,143,477 = 1,143,477/x
  3. Step 3: Cross multiply
    754,988x = 1,143,477 × 1,143,477
  4. Step 4: Simplify right side
    754,988x = 1,307,539,649,529
  5. Step 5: Solve for x
    x = 1,307,539,649,529/754,988
  6. Step 6: Final answer
    x = 1,731,868.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.