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Finding the Third Proportional to 1,427,510 and 2,101,827

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Solution

The third proportional to 1,427,510 and 2,101,827 is: 3,094,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,510 : 2,101,827 = 2,101,827 : x
  2. Step 2: Convert to fraction form
    1,427,510/2,101,827 = 2,101,827/x
  3. Step 3: Cross multiply
    1,427,510x = 2,101,827 × 2,101,827
  4. Step 4: Simplify right side
    1,427,510x = 4,417,676,737,929
  5. Step 5: Solve for x
    x = 4,417,676,737,929/1,427,510
  6. Step 6: Final answer
    x = 3,094,673.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.