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Finding the Third Proportional to 584,856 and 857,006

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Solution

The third proportional to 584,856 and 857,006 is: 1,255,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,856 : 857,006 = 857,006 : x
  2. Step 2: Convert to fraction form
    584,856/857,006 = 857,006/x
  3. Step 3: Cross multiply
    584,856x = 857,006 × 857,006
  4. Step 4: Simplify right side
    584,856x = 734,459,284,036
  5. Step 5: Solve for x
    x = 734,459,284,036/584,856
  6. Step 6: Final answer
    x = 1,255,795.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.