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Finding the Third Proportional to 2,114,642 and 4,700,164

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Solution

The third proportional to 2,114,642 and 4,700,164 is: 10,446,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,642 : 4,700,164 = 4,700,164 : x
  2. Step 2: Convert to fraction form
    2,114,642/4,700,164 = 4,700,164/x
  3. Step 3: Cross multiply
    2,114,642x = 4,700,164 × 4,700,164
  4. Step 4: Simplify right side
    2,114,642x = 22,091,541,626,896
  5. Step 5: Solve for x
    x = 22,091,541,626,896/2,114,642
  6. Step 6: Final answer
    x = 10,446,941.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.