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Finding the Third Proportional to 403,407 and 877,788

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Solution

The third proportional to 403,407 and 877,788 is: 1,910,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,407 : 877,788 = 877,788 : x
  2. Step 2: Convert to fraction form
    403,407/877,788 = 877,788/x
  3. Step 3: Cross multiply
    403,407x = 877,788 × 877,788
  4. Step 4: Simplify right side
    403,407x = 770,511,772,944
  5. Step 5: Solve for x
    x = 770,511,772,944/403,407
  6. Step 6: Final answer
    x = 1,910,010.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.