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Finding the Third Proportional to 697,414 and 1,077,666

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Solution

The third proportional to 697,414 and 1,077,666 is: 1,665,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,414 : 1,077,666 = 1,077,666 : x
  2. Step 2: Convert to fraction form
    697,414/1,077,666 = 1,077,666/x
  3. Step 3: Cross multiply
    697,414x = 1,077,666 × 1,077,666
  4. Step 4: Simplify right side
    697,414x = 1,161,364,007,556
  5. Step 5: Solve for x
    x = 1,161,364,007,556/697,414
  6. Step 6: Final answer
    x = 1,665,243.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.