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Finding the Third Proportional to 697,658 and 1,051,599

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Solution

The third proportional to 697,658 and 1,051,599 is: 1,585,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,658 : 1,051,599 = 1,051,599 : x
  2. Step 2: Convert to fraction form
    697,658/1,051,599 = 1,051,599/x
  3. Step 3: Cross multiply
    697,658x = 1,051,599 × 1,051,599
  4. Step 4: Simplify right side
    697,658x = 1,105,860,456,801
  5. Step 5: Solve for x
    x = 1,105,860,456,801/697,658
  6. Step 6: Final answer
    x = 1,585,103.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.