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Finding the Third Proportional to 691,969.50 and 1,497,663

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Solution

The third proportional to 691,969.50 and 1,497,663 is: 3,241,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,969.50 : 1,497,663 = 1,497,663 : x
  2. Step 2: Convert to fraction form
    691,969.50/1,497,663 = 1,497,663/x
  3. Step 3: Cross multiply
    691,969.50x = 1,497,663 × 1,497,663
  4. Step 4: Simplify right side
    691,969.50x = 2,242,994,461,569
  5. Step 5: Solve for x
    x = 2,242,994,461,569/691,969.50
  6. Step 6: Final answer
    x = 3,241,464.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.