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Finding the Third Proportional to 649,028 and 968,138

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Solution

The third proportional to 649,028 and 968,138 is: 1,444,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,028 : 968,138 = 968,138 : x
  2. Step 2: Convert to fraction form
    649,028/968,138 = 968,138/x
  3. Step 3: Cross multiply
    649,028x = 968,138 × 968,138
  4. Step 4: Simplify right side
    649,028x = 937,291,187,044
  5. Step 5: Solve for x
    x = 937,291,187,044/649,028
  6. Step 6: Final answer
    x = 1,444,146.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.