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Finding the Third Proportional to 2,246,859 and 4,808,646

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Solution

The third proportional to 2,246,859 and 4,808,646 is: 10,291,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246,859 : 4,808,646 = 4,808,646 : x
  2. Step 2: Convert to fraction form
    2,246,859/4,808,646 = 4,808,646/x
  3. Step 3: Cross multiply
    2,246,859x = 4,808,646 × 4,808,646
  4. Step 4: Simplify right side
    2,246,859x = 23,123,076,353,316
  5. Step 5: Solve for x
    x = 23,123,076,353,316/2,246,859
  6. Step 6: Final answer
    x = 10,291,289.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.