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Finding the Third Proportional to 1,036,998 and 2,156,769

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Solution

The third proportional to 1,036,998 and 2,156,769 is: 4,485,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,998 : 2,156,769 = 2,156,769 : x
  2. Step 2: Convert to fraction form
    1,036,998/2,156,769 = 2,156,769/x
  3. Step 3: Cross multiply
    1,036,998x = 2,156,769 × 2,156,769
  4. Step 4: Simplify right side
    1,036,998x = 4,651,652,519,361
  5. Step 5: Solve for x
    x = 4,651,652,519,361/1,036,998
  6. Step 6: Final answer
    x = 4,485,690.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.