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Finding the Third Proportional to 665,702.30 and 1,455,961.08

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Solution

The third proportional to 665,702.30 and 1,455,961.08 is: 3,184,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,702.30 : 1,455,961.08 = 1,455,961.08 : x
  2. Step 2: Convert to fraction form
    665,702.30/1,455,961.08 = 1,455,961.08/x
  3. Step 3: Cross multiply
    665,702.30x = 1,455,961.08 × 1,455,961.08
  4. Step 4: Simplify right side
    665,702.30x = 2,119,822,661,014.91
  5. Step 5: Solve for x
    x = 2,119,822,661,014.91/665,702.30
  6. Step 6: Final answer
    x = 3,184,340.31

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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.