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Finding the Third Proportional to 684,000 and 1,483,920

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Solution

The third proportional to 684,000 and 1,483,920 is: 3,219,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,000 : 1,483,920 = 1,483,920 : x
  2. Step 2: Convert to fraction form
    684,000/1,483,920 = 1,483,920/x
  3. Step 3: Cross multiply
    684,000x = 1,483,920 × 1,483,920
  4. Step 4: Simplify right side
    684,000x = 2,202,018,566,400
  5. Step 5: Solve for x
    x = 2,202,018,566,400/684,000
  6. Step 6: Final answer
    x = 3,219,325.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.