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Finding the Third Proportional to 714,146.63 and 1,106,485.31

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Solution

The third proportional to 714,146.63 and 1,106,485.31 is: 1,714,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,146.63 : 1,106,485.31 = 1,106,485.31 : x
  2. Step 2: Convert to fraction form
    714,146.63/1,106,485.31 = 1,106,485.31/x
  3. Step 3: Cross multiply
    714,146.63x = 1,106,485.31 × 1,106,485.31
  4. Step 4: Simplify right side
    714,146.63x = 1,224,309,746,778.22
  5. Step 5: Solve for x
    x = 1,224,309,746,778.22/714,146.63
  6. Step 6: Final answer
    x = 1,714,367.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.