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Finding the Third Proportional to 484,706.75 and 1,035,385.75

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Solution

The third proportional to 484,706.75 and 1,035,385.75 is: 2,211,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,706.75 : 1,035,385.75 = 1,035,385.75 : x
  2. Step 2: Convert to fraction form
    484,706.75/1,035,385.75 = 1,035,385.75/x
  3. Step 3: Cross multiply
    484,706.75x = 1,035,385.75 × 1,035,385.75
  4. Step 4: Simplify right side
    484,706.75x = 1,072,023,651,303.06
  5. Step 5: Solve for x
    x = 1,072,023,651,303.06/484,706.75
  6. Step 6: Final answer
    x = 2,211,695.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.