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Finding the Third Proportional to 2,403,340 and 5,147,840

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Solution

The third proportional to 2,403,340 and 5,147,840 is: 11,026,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403,340 : 5,147,840 = 5,147,840 : x
  2. Step 2: Convert to fraction form
    2,403,340/5,147,840 = 5,147,840/x
  3. Step 3: Cross multiply
    2,403,340x = 5,147,840 × 5,147,840
  4. Step 4: Simplify right side
    2,403,340x = 26,500,256,665,600
  5. Step 5: Solve for x
    x = 26,500,256,665,600/2,403,340
  6. Step 6: Final answer
    x = 11,026,428.50

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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.