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Finding the Third Proportional to 604,038 and 906,006

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Solution

The third proportional to 604,038 and 906,006 is: 1,358,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,038 : 906,006 = 906,006 : x
  2. Step 2: Convert to fraction form
    604,038/906,006 = 906,006/x
  3. Step 3: Cross multiply
    604,038x = 906,006 × 906,006
  4. Step 4: Simplify right side
    604,038x = 820,846,872,036
  5. Step 5: Solve for x
    x = 820,846,872,036/604,038
  6. Step 6: Final answer
    x = 1,358,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.