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Finding the Third Proportional to 616,334 and 1,281,050

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Solution

The third proportional to 616,334 and 1,281,050 is: 2,662,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,334 : 1,281,050 = 1,281,050 : x
  2. Step 2: Convert to fraction form
    616,334/1,281,050 = 1,281,050/x
  3. Step 3: Cross multiply
    616,334x = 1,281,050 × 1,281,050
  4. Step 4: Simplify right side
    616,334x = 1,641,089,102,500
  5. Step 5: Solve for x
    x = 1,641,089,102,500/616,334
  6. Step 6: Final answer
    x = 2,662,661.97

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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.