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Finding the Third Proportional to 1,781,481 and 3,884,497.50

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Solution

The third proportional to 1,781,481 and 3,884,497.50 is: 8,470,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,481 : 3,884,497.50 = 3,884,497.50 : x
  2. Step 2: Convert to fraction form
    1,781,481/3,884,497.50 = 3,884,497.50/x
  3. Step 3: Cross multiply
    1,781,481x = 3,884,497.50 × 3,884,497.50
  4. Step 4: Simplify right side
    1,781,481x = 15,089,320,827,506.25
  5. Step 5: Solve for x
    x = 15,089,320,827,506.25/1,781,481
  6. Step 6: Final answer
    x = 8,470,099.22

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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.