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Finding the Third Proportional to 627,773 and 1,341,730

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Solution

The third proportional to 627,773 and 1,341,730 is: 2,867,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,773 : 1,341,730 = 1,341,730 : x
  2. Step 2: Convert to fraction form
    627,773/1,341,730 = 1,341,730/x
  3. Step 3: Cross multiply
    627,773x = 1,341,730 × 1,341,730
  4. Step 4: Simplify right side
    627,773x = 1,800,239,392,900
  5. Step 5: Solve for x
    x = 1,800,239,392,900/627,773
  6. Step 6: Final answer
    x = 2,867,659.80

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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.