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Finding the Third Proportional to 698,680 and 1,497,056

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Solution

The third proportional to 698,680 and 1,497,056 is: 3,207,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,680 : 1,497,056 = 1,497,056 : x
  2. Step 2: Convert to fraction form
    698,680/1,497,056 = 1,497,056/x
  3. Step 3: Cross multiply
    698,680x = 1,497,056 × 1,497,056
  4. Step 4: Simplify right side
    698,680x = 2,241,176,667,136
  5. Step 5: Solve for x
    x = 2,241,176,667,136/698,680
  6. Step 6: Final answer
    x = 3,207,729.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.