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Finding the Third Proportional to 649,026 and 968,139

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Solution

The third proportional to 649,026 and 968,139 is: 1,444,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,026 : 968,139 = 968,139 : x
  2. Step 2: Convert to fraction form
    649,026/968,139 = 968,139/x
  3. Step 3: Cross multiply
    649,026x = 968,139 × 968,139
  4. Step 4: Simplify right side
    649,026x = 937,293,123,321
  5. Step 5: Solve for x
    x = 937,293,123,321/649,026
  6. Step 6: Final answer
    x = 1,444,153.43

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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.