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Finding the Third Proportional to 780,448.50 and 1,693,564.88

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Solution

The third proportional to 780,448.50 and 1,693,564.88 is: 3,675,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,448.50 : 1,693,564.88 = 1,693,564.88 : x
  2. Step 2: Convert to fraction form
    780,448.50/1,693,564.88 = 1,693,564.88/x
  3. Step 3: Cross multiply
    780,448.50x = 1,693,564.88 × 1,693,564.88
  4. Step 4: Simplify right side
    780,448.50x = 2,868,161,985,833.77
  5. Step 5: Solve for x
    x = 2,868,161,985,833.77/780,448.50
  6. Step 6: Final answer
    x = 3,675,017.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.