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Finding the Third Proportional to 754,762 and 1,649,492

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Solution

The third proportional to 754,762 and 1,649,492 is: 3,604,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,762 : 1,649,492 = 1,649,492 : x
  2. Step 2: Convert to fraction form
    754,762/1,649,492 = 1,649,492/x
  3. Step 3: Cross multiply
    754,762x = 1,649,492 × 1,649,492
  4. Step 4: Simplify right side
    754,762x = 2,720,823,858,064
  5. Step 5: Solve for x
    x = 2,720,823,858,064/754,762
  6. Step 6: Final answer
    x = 3,604,876.58

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