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Finding the Third Proportional to 786,412.50 and 1,720,011

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Solution

The third proportional to 786,412.50 and 1,720,011 is: 3,761,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,412.50 : 1,720,011 = 1,720,011 : x
  2. Step 2: Convert to fraction form
    786,412.50/1,720,011 = 1,720,011/x
  3. Step 3: Cross multiply
    786,412.50x = 1,720,011 × 1,720,011
  4. Step 4: Simplify right side
    786,412.50x = 2,958,437,840,121
  5. Step 5: Solve for x
    x = 2,958,437,840,121/786,412.50
  6. Step 6: Final answer
    x = 3,761,941.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.