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Finding the Third Proportional to 1,407,631.50 and 3,014,523

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Solution

The third proportional to 1,407,631.50 and 3,014,523 is: 6,455,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,631.50 : 3,014,523 = 3,014,523 : x
  2. Step 2: Convert to fraction form
    1,407,631.50/3,014,523 = 3,014,523/x
  3. Step 3: Cross multiply
    1,407,631.50x = 3,014,523 × 3,014,523
  4. Step 4: Simplify right side
    1,407,631.50x = 9,087,348,917,529
  5. Step 5: Solve for x
    x = 9,087,348,917,529/1,407,631.50
  6. Step 6: Final answer
    x = 6,455,772.63

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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.