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Finding the Third Proportional to 3,786,584 and 5,719,300

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Solution

The third proportional to 3,786,584 and 5,719,300 is: 8,638,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786,584 : 5,719,300 = 5,719,300 : x
  2. Step 2: Convert to fraction form
    3,786,584/5,719,300 = 5,719,300/x
  3. Step 3: Cross multiply
    3,786,584x = 5,719,300 × 5,719,300
  4. Step 4: Simplify right side
    3,786,584x = 32,710,392,490,000
  5. Step 5: Solve for x
    x = 32,710,392,490,000/3,786,584
  6. Step 6: Final answer
    x = 8,638,496.46

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