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Finding the Third Proportional to 785,461 and 1,208,809

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Solution

The third proportional to 785,461 and 1,208,809 is: 1,860,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,461 : 1,208,809 = 1,208,809 : x
  2. Step 2: Convert to fraction form
    785,461/1,208,809 = 1,208,809/x
  3. Step 3: Cross multiply
    785,461x = 1,208,809 × 1,208,809
  4. Step 4: Simplify right side
    785,461x = 1,461,219,198,481
  5. Step 5: Solve for x
    x = 1,461,219,198,481/785,461
  6. Step 6: Final answer
    x = 1,860,333.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.