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Finding the Third Proportional to 691,960 and 1,497,644

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Solution

The third proportional to 691,960 and 1,497,644 is: 3,241,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,960 : 1,497,644 = 1,497,644 : x
  2. Step 2: Convert to fraction form
    691,960/1,497,644 = 1,497,644/x
  3. Step 3: Cross multiply
    691,960x = 1,497,644 × 1,497,644
  4. Step 4: Simplify right side
    691,960x = 2,242,937,550,736
  5. Step 5: Solve for x
    x = 2,242,937,550,736/691,960
  6. Step 6: Final answer
    x = 3,241,426.60

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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.