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Finding the Third Proportional to 714,380 and 1,080,754

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Solution

The third proportional to 714,380 and 1,080,754 is: 1,635,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,380 : 1,080,754 = 1,080,754 : x
  2. Step 2: Convert to fraction form
    714,380/1,080,754 = 1,080,754/x
  3. Step 3: Cross multiply
    714,380x = 1,080,754 × 1,080,754
  4. Step 4: Simplify right side
    714,380x = 1,168,029,208,516
  5. Step 5: Solve for x
    x = 1,168,029,208,516/714,380
  6. Step 6: Final answer
    x = 1,635,025.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.