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Finding the Third Proportional to 785,819 and 1,201,282

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Solution

The third proportional to 785,819 and 1,201,282 is: 1,836,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,819 : 1,201,282 = 1,201,282 : x
  2. Step 2: Convert to fraction form
    785,819/1,201,282 = 1,201,282/x
  3. Step 3: Cross multiply
    785,819x = 1,201,282 × 1,201,282
  4. Step 4: Simplify right side
    785,819x = 1,443,078,443,524
  5. Step 5: Solve for x
    x = 1,443,078,443,524/785,819
  6. Step 6: Final answer
    x = 1,836,400.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.