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Finding the Third Proportional to 804,570 and 1,192,928

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Solution

The third proportional to 804,570 and 1,192,928 is: 1,768,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,570 : 1,192,928 = 1,192,928 : x
  2. Step 2: Convert to fraction form
    804,570/1,192,928 = 1,192,928/x
  3. Step 3: Cross multiply
    804,570x = 1,192,928 × 1,192,928
  4. Step 4: Simplify right side
    804,570x = 1,423,077,213,184
  5. Step 5: Solve for x
    x = 1,423,077,213,184/804,570
  6. Step 6: Final answer
    x = 1,768,742.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.