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Finding the Third Proportional to 670,270.50 and 1,436,483.25

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Solution

The third proportional to 670,270.50 and 1,436,483.25 is: 3,078,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,270.50 : 1,436,483.25 = 1,436,483.25 : x
  2. Step 2: Convert to fraction form
    670,270.50/1,436,483.25 = 1,436,483.25/x
  3. Step 3: Cross multiply
    670,270.50x = 1,436,483.25 × 1,436,483.25
  4. Step 4: Simplify right side
    670,270.50x = 2,063,484,127,530.56
  5. Step 5: Solve for x
    x = 2,063,484,127,530.56/670,270.50
  6. Step 6: Final answer
    x = 3,078,584.14

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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.