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Finding the Third Proportional to 1,776,900 and 2,598,708

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Solution

The third proportional to 1,776,900 and 2,598,708 is: 3,800,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,900 : 2,598,708 = 2,598,708 : x
  2. Step 2: Convert to fraction form
    1,776,900/2,598,708 = 2,598,708/x
  3. Step 3: Cross multiply
    1,776,900x = 2,598,708 × 2,598,708
  4. Step 4: Simplify right side
    1,776,900x = 6,753,283,269,264
  5. Step 5: Solve for x
    x = 6,753,283,269,264/1,776,900
  6. Step 6: Final answer
    x = 3,800,598.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.