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Finding the Third Proportional to 697,872 and 1,106,880

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Solution

The third proportional to 697,872 and 1,106,880 is: 1,755,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,872 : 1,106,880 = 1,106,880 : x
  2. Step 2: Convert to fraction form
    697,872/1,106,880 = 1,106,880/x
  3. Step 3: Cross multiply
    697,872x = 1,106,880 × 1,106,880
  4. Step 4: Simplify right side
    697,872x = 1,225,183,334,400
  5. Step 5: Solve for x
    x = 1,225,183,334,400/697,872
  6. Step 6: Final answer
    x = 1,755,598.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.