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Finding the Third Proportional to 697,418 and 1,077,672

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Solution

The third proportional to 697,418 and 1,077,672 is: 1,665,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,418 : 1,077,672 = 1,077,672 : x
  2. Step 2: Convert to fraction form
    697,418/1,077,672 = 1,077,672/x
  3. Step 3: Cross multiply
    697,418x = 1,077,672 × 1,077,672
  4. Step 4: Simplify right side
    697,418x = 1,161,376,939,584
  5. Step 5: Solve for x
    x = 1,161,376,939,584/697,418
  6. Step 6: Final answer
    x = 1,665,252.32

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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.