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Finding the Third Proportional to 2,105,427.75 and 4,630,663.50

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Solution

The third proportional to 2,105,427.75 and 4,630,663.50 is: 10,184,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,427.75 : 4,630,663.50 = 4,630,663.50 : x
  2. Step 2: Convert to fraction form
    2,105,427.75/4,630,663.50 = 4,630,663.50/x
  3. Step 3: Cross multiply
    2,105,427.75x = 4,630,663.50 × 4,630,663.50
  4. Step 4: Simplify right side
    2,105,427.75x = 21,443,044,450,232.25
  5. Step 5: Solve for x
    x = 21,443,044,450,232.25/2,105,427.75
  6. Step 6: Final answer
    x = 10,184,649.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.