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Finding the Third Proportional to 1,205,442 and 2,535,012

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Solution

The third proportional to 1,205,442 and 2,535,012 is: 5,331,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,442 : 2,535,012 = 2,535,012 : x
  2. Step 2: Convert to fraction form
    1,205,442/2,535,012 = 2,535,012/x
  3. Step 3: Cross multiply
    1,205,442x = 2,535,012 × 2,535,012
  4. Step 4: Simplify right side
    1,205,442x = 6,426,285,840,144
  5. Step 5: Solve for x
    x = 6,426,285,840,144/1,205,442
  6. Step 6: Final answer
    x = 5,331,061.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.