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Finding the Third Proportional to 697,458 and 1,066,194

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Solution

The third proportional to 697,458 and 1,066,194 is: 1,629,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,458 : 1,066,194 = 1,066,194 : x
  2. Step 2: Convert to fraction form
    697,458/1,066,194 = 1,066,194/x
  3. Step 3: Cross multiply
    697,458x = 1,066,194 × 1,066,194
  4. Step 4: Simplify right side
    697,458x = 1,136,769,645,636
  5. Step 5: Solve for x
    x = 1,136,769,645,636/697,458
  6. Step 6: Final answer
    x = 1,629,875.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.