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Finding the Third Proportional to 604,920 and 893,583

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Solution

The third proportional to 604,920 and 893,583 is: 1,319,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,920 : 893,583 = 893,583 : x
  2. Step 2: Convert to fraction form
    604,920/893,583 = 893,583/x
  3. Step 3: Cross multiply
    604,920x = 893,583 × 893,583
  4. Step 4: Simplify right side
    604,920x = 798,490,577,889
  5. Step 5: Solve for x
    x = 798,490,577,889/604,920
  6. Step 6: Final answer
    x = 1,319,993.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.