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Finding the Third Proportional to 465,684 and 1,018,543.50

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Solution

The third proportional to 465,684 and 1,018,543.50 is: 2,227,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,684 : 1,018,543.50 = 1,018,543.50 : x
  2. Step 2: Convert to fraction form
    465,684/1,018,543.50 = 1,018,543.50/x
  3. Step 3: Cross multiply
    465,684x = 1,018,543.50 × 1,018,543.50
  4. Step 4: Simplify right side
    465,684x = 1,037,430,861,392.25
  5. Step 5: Solve for x
    x = 1,037,430,861,392.25/465,684
  6. Step 6: Final answer
    x = 2,227,757.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.