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Finding the Third Proportional to 851,584 and 1,184,048

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Solution

The third proportional to 851,584 and 1,184,048 is: 1,646,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,584 : 1,184,048 = 1,184,048 : x
  2. Step 2: Convert to fraction form
    851,584/1,184,048 = 1,184,048/x
  3. Step 3: Cross multiply
    851,584x = 1,184,048 × 1,184,048
  4. Step 4: Simplify right side
    851,584x = 1,401,969,666,304
  5. Step 5: Solve for x
    x = 1,401,969,666,304/851,584
  6. Step 6: Final answer
    x = 1,646,308.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.