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Finding the Third Proportional to 677,434 and 1,039,574

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Solution

The third proportional to 677,434 and 1,039,574 is: 1,595,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,434 : 1,039,574 = 1,039,574 : x
  2. Step 2: Convert to fraction form
    677,434/1,039,574 = 1,039,574/x
  3. Step 3: Cross multiply
    677,434x = 1,039,574 × 1,039,574
  4. Step 4: Simplify right side
    677,434x = 1,080,714,101,476
  5. Step 5: Solve for x
    x = 1,080,714,101,476/677,434
  6. Step 6: Final answer
    x = 1,595,305.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.