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Finding the Third Proportional to 1,420,101 and 1,997,471

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Solution

The third proportional to 1,420,101 and 1,997,471 is: 2,809,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,101 : 1,997,471 = 1,997,471 : x
  2. Step 2: Convert to fraction form
    1,420,101/1,997,471 = 1,997,471/x
  3. Step 3: Cross multiply
    1,420,101x = 1,997,471 × 1,997,471
  4. Step 4: Simplify right side
    1,420,101x = 3,989,890,395,841
  5. Step 5: Solve for x
    x = 3,989,890,395,841/1,420,101
  6. Step 6: Final answer
    x = 2,809,582.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.