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Finding the Third Proportional to 697,752 and 1,106,676

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Solution

The third proportional to 697,752 and 1,106,676 is: 1,755,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,752 : 1,106,676 = 1,106,676 : x
  2. Step 2: Convert to fraction form
    697,752/1,106,676 = 1,106,676/x
  3. Step 3: Cross multiply
    697,752x = 1,106,676 × 1,106,676
  4. Step 4: Simplify right side
    697,752x = 1,224,731,768,976
  5. Step 5: Solve for x
    x = 1,224,731,768,976/697,752
  6. Step 6: Final answer
    x = 1,755,253.68

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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.