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Finding the Third Proportional to 1,029,738 and 1,594,434

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Solution

The third proportional to 1,029,738 and 1,594,434 is: 2,468,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,738 : 1,594,434 = 1,594,434 : x
  2. Step 2: Convert to fraction form
    1,029,738/1,594,434 = 1,594,434/x
  3. Step 3: Cross multiply
    1,029,738x = 1,594,434 × 1,594,434
  4. Step 4: Simplify right side
    1,029,738x = 2,542,219,780,356
  5. Step 5: Solve for x
    x = 2,542,219,780,356/1,029,738
  6. Step 6: Final answer
    x = 2,468,802.53

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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.