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Finding the Third Proportional to 697,374 and 1,077,597

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Solution

The third proportional to 697,374 and 1,077,597 is: 1,665,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,374 : 1,077,597 = 1,077,597 : x
  2. Step 2: Convert to fraction form
    697,374/1,077,597 = 1,077,597/x
  3. Step 3: Cross multiply
    697,374x = 1,077,597 × 1,077,597
  4. Step 4: Simplify right side
    697,374x = 1,161,215,294,409
  5. Step 5: Solve for x
    x = 1,161,215,294,409/697,374
  6. Step 6: Final answer
    x = 1,665,125.59

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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.