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Finding the Third Proportional to 785,464 and 1,208,814

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Solution

The third proportional to 785,464 and 1,208,814 is: 1,860,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,464 : 1,208,814 = 1,208,814 : x
  2. Step 2: Convert to fraction form
    785,464/1,208,814 = 1,208,814/x
  3. Step 3: Cross multiply
    785,464x = 1,208,814 × 1,208,814
  4. Step 4: Simplify right side
    785,464x = 1,461,231,286,596
  5. Step 5: Solve for x
    x = 1,461,231,286,596/785,464
  6. Step 6: Final answer
    x = 1,860,341.51

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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.