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Finding the Third Proportional to 980,696 and 1,499,583

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Solution

The third proportional to 980,696 and 1,499,583 is: 2,293,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,696 : 1,499,583 = 1,499,583 : x
  2. Step 2: Convert to fraction form
    980,696/1,499,583 = 1,499,583/x
  3. Step 3: Cross multiply
    980,696x = 1,499,583 × 1,499,583
  4. Step 4: Simplify right side
    980,696x = 2,248,749,173,889
  5. Step 5: Solve for x
    x = 2,248,749,173,889/980,696
  6. Step 6: Final answer
    x = 2,293,013.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.