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Finding the Third Proportional to 1,497,910 and 3,205,771

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Solution

The third proportional to 1,497,910 and 3,205,771 is: 6,860,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,910 : 3,205,771 = 3,205,771 : x
  2. Step 2: Convert to fraction form
    1,497,910/3,205,771 = 3,205,771/x
  3. Step 3: Cross multiply
    1,497,910x = 3,205,771 × 3,205,771
  4. Step 4: Simplify right side
    1,497,910x = 10,276,967,704,441
  5. Step 5: Solve for x
    x = 10,276,967,704,441/1,497,910
  6. Step 6: Final answer
    x = 6,860,871.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.