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Finding the Third Proportional to 482,217 and 1,037,014.50

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Solution

The third proportional to 482,217 and 1,037,014.50 is: 2,230,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,217 : 1,037,014.50 = 1,037,014.50 : x
  2. Step 2: Convert to fraction form
    482,217/1,037,014.50 = 1,037,014.50/x
  3. Step 3: Cross multiply
    482,217x = 1,037,014.50 × 1,037,014.50
  4. Step 4: Simplify right side
    482,217x = 1,075,399,073,210.25
  5. Step 5: Solve for x
    x = 1,075,399,073,210.25/482,217
  6. Step 6: Final answer
    x = 2,230,114.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.