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Finding the Third Proportional to 1,227,762 and 2,678,534

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Solution

The third proportional to 1,227,762 and 2,678,534 is: 5,843,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,762 : 2,678,534 = 2,678,534 : x
  2. Step 2: Convert to fraction form
    1,227,762/2,678,534 = 2,678,534/x
  3. Step 3: Cross multiply
    1,227,762x = 2,678,534 × 2,678,534
  4. Step 4: Simplify right side
    1,227,762x = 7,174,544,389,156
  5. Step 5: Solve for x
    x = 7,174,544,389,156/1,227,762
  6. Step 6: Final answer
    x = 5,843,595.41

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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.