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Finding the Third Proportional to 403,411 and 877,797

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Solution

The third proportional to 403,411 and 877,797 is: 1,910,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,411 : 877,797 = 877,797 : x
  2. Step 2: Convert to fraction form
    403,411/877,797 = 877,797/x
  3. Step 3: Cross multiply
    403,411x = 877,797 × 877,797
  4. Step 4: Simplify right side
    403,411x = 770,527,573,209
  5. Step 5: Solve for x
    x = 770,527,573,209/403,411
  6. Step 6: Final answer
    x = 1,910,031.14

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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.