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Finding the Third Proportional to 778,851 and 1,234,981

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Solution

The third proportional to 778,851 and 1,234,981 is: 1,958,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,851 : 1,234,981 = 1,234,981 : x
  2. Step 2: Convert to fraction form
    778,851/1,234,981 = 1,234,981/x
  3. Step 3: Cross multiply
    778,851x = 1,234,981 × 1,234,981
  4. Step 4: Simplify right side
    778,851x = 1,525,178,070,361
  5. Step 5: Solve for x
    x = 1,525,178,070,361/778,851
  6. Step 6: Final answer
    x = 1,958,241.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.