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Finding the Third Proportional to 684,971.44 and 973,625.06

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Solution

The third proportional to 684,971.44 and 973,625.06 is: 1,383,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,971.44 : 973,625.06 = 973,625.06 : x
  2. Step 2: Convert to fraction form
    684,971.44/973,625.06 = 973,625.06/x
  3. Step 3: Cross multiply
    684,971.44x = 973,625.06 × 973,625.06
  4. Step 4: Simplify right side
    684,971.44x = 947,945,762,328.13
  5. Step 5: Solve for x
    x = 947,945,762,328.13/684,971.44
  6. Step 6: Final answer
    x = 1,383,920.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.