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Finding the Third Proportional to 903,085.88 and 1,238,376.94

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Solution

The third proportional to 903,085.88 and 1,238,376.94 is: 1,698,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,085.88 : 1,238,376.94 = 1,238,376.94 : x
  2. Step 2: Convert to fraction form
    903,085.88/1,238,376.94 = 1,238,376.94/x
  3. Step 3: Cross multiply
    903,085.88x = 1,238,376.94 × 1,238,376.94
  4. Step 4: Simplify right side
    903,085.88x = 1,533,577,439,331.88
  5. Step 5: Solve for x
    x = 1,533,577,439,331.88/903,085.88
  6. Step 6: Final answer
    x = 1,698,152.39

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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.