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Finding the Third Proportional to 697,434 and 1,077,696

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Solution

The third proportional to 697,434 and 1,077,696 is: 1,665,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,434 : 1,077,696 = 1,077,696 : x
  2. Step 2: Convert to fraction form
    697,434/1,077,696 = 1,077,696/x
  3. Step 3: Cross multiply
    697,434x = 1,077,696 × 1,077,696
  4. Step 4: Simplify right side
    697,434x = 1,161,428,668,416
  5. Step 5: Solve for x
    x = 1,161,428,668,416/697,434
  6. Step 6: Final answer
    x = 1,665,288.28

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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.