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Finding the Third Proportional to 903,101.63 and 1,238,410.69

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Solution

The third proportional to 903,101.63 and 1,238,410.69 is: 1,698,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,101.63 : 1,238,410.69 = 1,238,410.69 : x
  2. Step 2: Convert to fraction form
    903,101.63/1,238,410.69 = 1,238,410.69/x
  3. Step 3: Cross multiply
    903,101.63x = 1,238,410.69 × 1,238,410.69
  4. Step 4: Simplify right side
    903,101.63x = 1,533,661,030,914.22
  5. Step 5: Solve for x
    x = 1,533,661,030,914.22/903,101.63
  6. Step 6: Final answer
    x = 1,698,215.34

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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.