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Finding the Third Proportional to 566,071 and 1,237,117

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Solution

The third proportional to 566,071 and 1,237,117 is: 2,703,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,071 : 1,237,117 = 1,237,117 : x
  2. Step 2: Convert to fraction form
    566,071/1,237,117 = 1,237,117/x
  3. Step 3: Cross multiply
    566,071x = 1,237,117 × 1,237,117
  4. Step 4: Simplify right side
    566,071x = 1,530,458,471,689
  5. Step 5: Solve for x
    x = 1,530,458,471,689/566,071
  6. Step 6: Final answer
    x = 2,703,651.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.