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Finding the Third Proportional to 927,138 and 1,434,810

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Solution

The third proportional to 927,138 and 1,434,810 is: 2,220,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,138 : 1,434,810 = 1,434,810 : x
  2. Step 2: Convert to fraction form
    927,138/1,434,810 = 1,434,810/x
  3. Step 3: Cross multiply
    927,138x = 1,434,810 × 1,434,810
  4. Step 4: Simplify right side
    927,138x = 2,058,679,736,100
  5. Step 5: Solve for x
    x = 2,058,679,736,100/927,138
  6. Step 6: Final answer
    x = 2,220,467.43

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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.