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Finding the Third Proportional to 2,503,314 and 4,649,058

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Solution

The third proportional to 2,503,314 and 4,649,058 is: 8,634,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,314 : 4,649,058 = 4,649,058 : x
  2. Step 2: Convert to fraction form
    2,503,314/4,649,058 = 4,649,058/x
  3. Step 3: Cross multiply
    2,503,314x = 4,649,058 × 4,649,058
  4. Step 4: Simplify right side
    2,503,314x = 21,613,740,287,364
  5. Step 5: Solve for x
    x = 21,613,740,287,364/2,503,314
  6. Step 6: Final answer
    x = 8,634,050.82

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.