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Finding the Third Proportional to 654,829.50 and 1,405,341

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Solution

The third proportional to 654,829.50 and 1,405,341 is: 3,016,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,829.50 : 1,405,341 = 1,405,341 : x
  2. Step 2: Convert to fraction form
    654,829.50/1,405,341 = 1,405,341/x
  3. Step 3: Cross multiply
    654,829.50x = 1,405,341 × 1,405,341
  4. Step 4: Simplify right side
    654,829.50x = 1,974,983,326,281
  5. Step 5: Solve for x
    x = 1,974,983,326,281/654,829.50
  6. Step 6: Final answer
    x = 3,016,026.81

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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.