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Finding the Third Proportional to 1,614,428 and 3,425,644

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Solution

The third proportional to 1,614,428 and 3,425,644 is: 7,268,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,428 : 3,425,644 = 3,425,644 : x
  2. Step 2: Convert to fraction form
    1,614,428/3,425,644 = 3,425,644/x
  3. Step 3: Cross multiply
    1,614,428x = 3,425,644 × 3,425,644
  4. Step 4: Simplify right side
    1,614,428x = 11,735,036,814,736
  5. Step 5: Solve for x
    x = 11,735,036,814,736/1,614,428
  6. Step 6: Final answer
    x = 7,268,851.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.