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Finding the Third Proportional to 786,461 and 1,720,105

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Solution

The third proportional to 786,461 and 1,720,105 is: 3,762,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,461 : 1,720,105 = 1,720,105 : x
  2. Step 2: Convert to fraction form
    786,461/1,720,105 = 1,720,105/x
  3. Step 3: Cross multiply
    786,461x = 1,720,105 × 1,720,105
  4. Step 4: Simplify right side
    786,461x = 2,958,761,211,025
  5. Step 5: Solve for x
    x = 2,958,761,211,025/786,461
  6. Step 6: Final answer
    x = 3,762,120.70

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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.