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Finding the Third Proportional to 406,913.63 and 883,881

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Solution

The third proportional to 406,913.63 and 883,881 is: 1,919,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,913.63 : 883,881 = 883,881 : x
  2. Step 2: Convert to fraction form
    406,913.63/883,881 = 883,881/x
  3. Step 3: Cross multiply
    406,913.63x = 883,881 × 883,881
  4. Step 4: Simplify right side
    406,913.63x = 781,245,622,161
  5. Step 5: Solve for x
    x = 781,245,622,161/406,913.63
  6. Step 6: Final answer
    x = 1,919,929.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.