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Finding the Third Proportional to 499,631 and 1,070,649

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Solution

The third proportional to 499,631 and 1,070,649 is: 2,294,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,631 : 1,070,649 = 1,070,649 : x
  2. Step 2: Convert to fraction form
    499,631/1,070,649 = 1,070,649/x
  3. Step 3: Cross multiply
    499,631x = 1,070,649 × 1,070,649
  4. Step 4: Simplify right side
    499,631x = 1,146,289,281,201
  5. Step 5: Solve for x
    x = 1,146,289,281,201/499,631
  6. Step 6: Final answer
    x = 2,294,271.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.