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Finding the Third Proportional to 460,059.75 and 1,005,412.50

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Solution

The third proportional to 460,059.75 and 1,005,412.50 is: 2,197,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,059.75 : 1,005,412.50 = 1,005,412.50 : x
  2. Step 2: Convert to fraction form
    460,059.75/1,005,412.50 = 1,005,412.50/x
  3. Step 3: Cross multiply
    460,059.75x = 1,005,412.50 × 1,005,412.50
  4. Step 4: Simplify right side
    460,059.75x = 1,010,854,295,156.25
  5. Step 5: Solve for x
    x = 1,010,854,295,156.25/460,059.75
  6. Step 6: Final answer
    x = 2,197,223.94

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