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Finding the Third Proportional to 649,869 and 950,737

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Solution

The third proportional to 649,869 and 950,737 is: 1,390,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,869 : 950,737 = 950,737 : x
  2. Step 2: Convert to fraction form
    649,869/950,737 = 950,737/x
  3. Step 3: Cross multiply
    649,869x = 950,737 × 950,737
  4. Step 4: Simplify right side
    649,869x = 903,900,843,169
  5. Step 5: Solve for x
    x = 903,900,843,169/649,869
  6. Step 6: Final answer
    x = 1,390,897.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.