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Finding the Third Proportional to 594,915 and 893,691

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Solution

The third proportional to 594,915 and 893,691 is: 1,342,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,915 : 893,691 = 893,691 : x
  2. Step 2: Convert to fraction form
    594,915/893,691 = 893,691/x
  3. Step 3: Cross multiply
    594,915x = 893,691 × 893,691
  4. Step 4: Simplify right side
    594,915x = 798,683,603,481
  5. Step 5: Solve for x
    x = 798,683,603,481/594,915
  6. Step 6: Final answer
    x = 1,342,517.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.