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Finding the Third Proportional to 903,434 and 1,321,159

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Solution

The third proportional to 903,434 and 1,321,159 is: 1,932,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,434 : 1,321,159 = 1,321,159 : x
  2. Step 2: Convert to fraction form
    903,434/1,321,159 = 1,321,159/x
  3. Step 3: Cross multiply
    903,434x = 1,321,159 × 1,321,159
  4. Step 4: Simplify right side
    903,434x = 1,745,461,103,281
  5. Step 5: Solve for x
    x = 1,745,461,103,281/903,434
  6. Step 6: Final answer
    x = 1,932,029.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.