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Finding the Third Proportional to 2,563,130 and 5,457,548

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Solution

The third proportional to 2,563,130 and 5,457,548 is: 11,620,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,130 : 5,457,548 = 5,457,548 : x
  2. Step 2: Convert to fraction form
    2,563,130/5,457,548 = 5,457,548/x
  3. Step 3: Cross multiply
    2,563,130x = 5,457,548 × 5,457,548
  4. Step 4: Simplify right side
    2,563,130x = 29,784,830,172,304
  5. Step 5: Solve for x
    x = 29,784,830,172,304/2,563,130
  6. Step 6: Final answer
    x = 11,620,491.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.