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Finding the Third Proportional to 2,047,254.50 and 3,211,261

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Solution

The third proportional to 2,047,254.50 and 3,211,261 is: 5,037,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,254.50 : 3,211,261 = 3,211,261 : x
  2. Step 2: Convert to fraction form
    2,047,254.50/3,211,261 = 3,211,261/x
  3. Step 3: Cross multiply
    2,047,254.50x = 3,211,261 × 3,211,261
  4. Step 4: Simplify right side
    2,047,254.50x = 10,312,197,210,121
  5. Step 5: Solve for x
    x = 10,312,197,210,121/2,047,254.50
  6. Step 6: Final answer
    x = 5,037,086.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.