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Finding the Third Proportional to 1,047,787.50 and 2,291,719.50

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Solution

The third proportional to 1,047,787.50 and 2,291,719.50 is: 5,012,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,787.50 : 2,291,719.50 = 2,291,719.50 : x
  2. Step 2: Convert to fraction form
    1,047,787.50/2,291,719.50 = 2,291,719.50/x
  3. Step 3: Cross multiply
    1,047,787.50x = 2,291,719.50 × 2,291,719.50
  4. Step 4: Simplify right side
    1,047,787.50x = 5,251,978,266,680.25
  5. Step 5: Solve for x
    x = 5,251,978,266,680.25/1,047,787.50
  6. Step 6: Final answer
    x = 5,012,446.00

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Why These Related Problems?

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