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Finding the Third Proportional to 469,045.50 and 1,106,139.50

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Solution

The third proportional to 469,045.50 and 1,106,139.50 is: 2,608,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,045.50 : 1,106,139.50 = 1,106,139.50 : x
  2. Step 2: Convert to fraction form
    469,045.50/1,106,139.50 = 1,106,139.50/x
  3. Step 3: Cross multiply
    469,045.50x = 1,106,139.50 × 1,106,139.50
  4. Step 4: Simplify right side
    469,045.50x = 1,223,544,593,460.25
  5. Step 5: Solve for x
    x = 1,223,544,593,460.25/469,045.50
  6. Step 6: Final answer
    x = 2,608,584.01

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.