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Finding the Third Proportional to 450,551 and 1,047,645.50

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Solution

The third proportional to 450,551 and 1,047,645.50 is: 2,436,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,551 : 1,047,645.50 = 1,047,645.50 : x
  2. Step 2: Convert to fraction form
    450,551/1,047,645.50 = 1,047,645.50/x
  3. Step 3: Cross multiply
    450,551x = 1,047,645.50 × 1,047,645.50
  4. Step 4: Simplify right side
    450,551x = 1,097,561,093,670.25
  5. Step 5: Solve for x
    x = 1,097,561,093,670.25/450,551
  6. Step 6: Final answer
    x = 2,436,041.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.