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Finding the Third Proportional to 594,032 and 919,184

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Solution

The third proportional to 594,032 and 919,184 is: 1,422,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,032 : 919,184 = 919,184 : x
  2. Step 2: Convert to fraction form
    594,032/919,184 = 919,184/x
  3. Step 3: Cross multiply
    594,032x = 919,184 × 919,184
  4. Step 4: Simplify right side
    594,032x = 844,899,225,856
  5. Step 5: Solve for x
    x = 844,899,225,856/594,032
  6. Step 6: Final answer
    x = 1,422,312.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.