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Finding the Third Proportional to 430,781 and 939,896

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Solution

The third proportional to 430,781 and 939,896 is: 2,050,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,781 : 939,896 = 939,896 : x
  2. Step 2: Convert to fraction form
    430,781/939,896 = 939,896/x
  3. Step 3: Cross multiply
    430,781x = 939,896 × 939,896
  4. Step 4: Simplify right side
    430,781x = 883,404,490,816
  5. Step 5: Solve for x
    x = 883,404,490,816/430,781
  6. Step 6: Final answer
    x = 2,050,704.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.