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Finding the Third Proportional to 929,058 and 2,035,263

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Solution

The third proportional to 929,058 and 2,035,263 is: 4,458,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,058 : 2,035,263 = 2,035,263 : x
  2. Step 2: Convert to fraction form
    929,058/2,035,263 = 2,035,263/x
  3. Step 3: Cross multiply
    929,058x = 2,035,263 × 2,035,263
  4. Step 4: Simplify right side
    929,058x = 4,142,295,479,169
  5. Step 5: Solve for x
    x = 4,142,295,479,169/929,058
  6. Step 6: Final answer
    x = 4,458,597.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.