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Finding the Third Proportional to 903,602 and 1,204,641

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Solution

The third proportional to 903,602 and 1,204,641 is: 1,605,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,602 : 1,204,641 = 1,204,641 : x
  2. Step 2: Convert to fraction form
    903,602/1,204,641 = 1,204,641/x
  3. Step 3: Cross multiply
    903,602x = 1,204,641 × 1,204,641
  4. Step 4: Simplify right side
    903,602x = 1,451,159,938,881
  5. Step 5: Solve for x
    x = 1,451,159,938,881/903,602
  6. Step 6: Final answer
    x = 1,605,972.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.