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Finding the Third Proportional to 2,566,574 and 5,576,562

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Solution

The third proportional to 2,566,574 and 5,576,562 is: 12,116,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,574 : 5,576,562 = 5,576,562 : x
  2. Step 2: Convert to fraction form
    2,566,574/5,576,562 = 5,576,562/x
  3. Step 3: Cross multiply
    2,566,574x = 5,576,562 × 5,576,562
  4. Step 4: Simplify right side
    2,566,574x = 31,098,043,739,844
  5. Step 5: Solve for x
    x = 31,098,043,739,844/2,566,574
  6. Step 6: Final answer
    x = 12,116,558.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.