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Finding the Third Proportional to 775,012.50 and 1,221,946.88

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Solution

The third proportional to 775,012.50 and 1,221,946.88 is: 1,926,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,012.50 : 1,221,946.88 = 1,221,946.88 : x
  2. Step 2: Convert to fraction form
    775,012.50/1,221,946.88 = 1,221,946.88/x
  3. Step 3: Cross multiply
    775,012.50x = 1,221,946.88 × 1,221,946.88
  4. Step 4: Simplify right side
    775,012.50x = 1,493,154,165,322.27
  5. Step 5: Solve for x
    x = 1,493,154,165,322.27/775,012.50
  6. Step 6: Final answer
    x = 1,926,619.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.