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Finding the Third Proportional to 407,406 and 877,221

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Solution

The third proportional to 407,406 and 877,221 is: 1,888,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,406 : 877,221 = 877,221 : x
  2. Step 2: Convert to fraction form
    407,406/877,221 = 877,221/x
  3. Step 3: Cross multiply
    407,406x = 877,221 × 877,221
  4. Step 4: Simplify right side
    407,406x = 769,516,682,841
  5. Step 5: Solve for x
    x = 769,516,682,841/407,406
  6. Step 6: Final answer
    x = 1,888,820.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.