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Finding the Third Proportional to 1,147,457 and 1,552,686

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Solution

The third proportional to 1,147,457 and 1,552,686 is: 2,101,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,457 : 1,552,686 = 1,552,686 : x
  2. Step 2: Convert to fraction form
    1,147,457/1,552,686 = 1,552,686/x
  3. Step 3: Cross multiply
    1,147,457x = 1,552,686 × 1,552,686
  4. Step 4: Simplify right side
    1,147,457x = 2,410,833,814,596
  5. Step 5: Solve for x
    x = 2,410,833,814,596/1,147,457
  6. Step 6: Final answer
    x = 2,101,023.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.