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Finding the Third Proportional to 621,036 and 1,337,205

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Solution

The third proportional to 621,036 and 1,337,205 is: 2,879,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,036 : 1,337,205 = 1,337,205 : x
  2. Step 2: Convert to fraction form
    621,036/1,337,205 = 1,337,205/x
  3. Step 3: Cross multiply
    621,036x = 1,337,205 × 1,337,205
  4. Step 4: Simplify right side
    621,036x = 1,788,117,212,025
  5. Step 5: Solve for x
    x = 1,788,117,212,025/621,036
  6. Step 6: Final answer
    x = 2,879,248.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.