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Finding the Third Proportional to 433,240 and 901,148

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Solution

The third proportional to 433,240 and 901,148 is: 1,874,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,240 : 901,148 = 901,148 : x
  2. Step 2: Convert to fraction form
    433,240/901,148 = 901,148/x
  3. Step 3: Cross multiply
    433,240x = 901,148 × 901,148
  4. Step 4: Simplify right side
    433,240x = 812,067,717,904
  5. Step 5: Solve for x
    x = 812,067,717,904/433,240
  6. Step 6: Final answer
    x = 1,874,406.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.