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Finding the Third Proportional to 874,116 and 1,319,166

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Solution

The third proportional to 874,116 and 1,319,166 is: 1,990,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,116 : 1,319,166 = 1,319,166 : x
  2. Step 2: Convert to fraction form
    874,116/1,319,166 = 1,319,166/x
  3. Step 3: Cross multiply
    874,116x = 1,319,166 × 1,319,166
  4. Step 4: Simplify right side
    874,116x = 1,740,198,935,556
  5. Step 5: Solve for x
    x = 1,740,198,935,556/874,116
  6. Step 6: Final answer
    x = 1,990,810.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.