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Finding the Third Proportional to 903,084.19 and 1,238,374.41

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Solution

The third proportional to 903,084.19 and 1,238,374.41 is: 1,698,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,084.19 : 1,238,374.41 = 1,238,374.41 : x
  2. Step 2: Convert to fraction form
    903,084.19/1,238,374.41 = 1,238,374.41/x
  3. Step 3: Cross multiply
    903,084.19x = 1,238,374.41 × 1,238,374.41
  4. Step 4: Simplify right side
    903,084.19x = 1,533,571,170,055.04
  5. Step 5: Solve for x
    x = 1,533,571,170,055.04/903,084.19
  6. Step 6: Final answer
    x = 1,698,148.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.