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Finding the Third Proportional to 2,906,964 and 4,462,140

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Solution

The third proportional to 2,906,964 and 4,462,140 is: 6,849,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,964 : 4,462,140 = 4,462,140 : x
  2. Step 2: Convert to fraction form
    2,906,964/4,462,140 = 4,462,140/x
  3. Step 3: Cross multiply
    2,906,964x = 4,462,140 × 4,462,140
  4. Step 4: Simplify right side
    2,906,964x = 19,910,693,379,600
  5. Step 5: Solve for x
    x = 19,910,693,379,600/2,906,964
  6. Step 6: Final answer
    x = 6,849,308.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.