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Finding the Third Proportional to 714,524.63 and 1,111,152.94

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Solution

The third proportional to 714,524.63 and 1,111,152.94 is: 1,727,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,524.63 : 1,111,152.94 = 1,111,152.94 : x
  2. Step 2: Convert to fraction form
    714,524.63/1,111,152.94 = 1,111,152.94/x
  3. Step 3: Cross multiply
    714,524.63x = 1,111,152.94 × 1,111,152.94
  4. Step 4: Simplify right side
    714,524.63x = 1,234,660,850,514.88
  5. Step 5: Solve for x
    x = 1,234,660,850,514.88/714,524.63
  6. Step 6: Final answer
    x = 1,727,947.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.