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Finding the Third Proportional to 2,538,406 and 5,539,840

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Solution

The third proportional to 2,538,406 and 5,539,840 is: 12,090,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538,406 : 5,539,840 = 5,539,840 : x
  2. Step 2: Convert to fraction form
    2,538,406/5,539,840 = 5,539,840/x
  3. Step 3: Cross multiply
    2,538,406x = 5,539,840 × 5,539,840
  4. Step 4: Simplify right side
    2,538,406x = 30,689,827,225,600
  5. Step 5: Solve for x
    x = 30,689,827,225,600/2,538,406
  6. Step 6: Final answer
    x = 12,090,196.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.