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Finding the Third Proportional to 856,559.81 and 1,205,158.50

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Solution

The third proportional to 856,559.81 and 1,205,158.50 is: 1,695,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,559.81 : 1,205,158.50 = 1,205,158.50 : x
  2. Step 2: Convert to fraction form
    856,559.81/1,205,158.50 = 1,205,158.50/x
  3. Step 3: Cross multiply
    856,559.81x = 1,205,158.50 × 1,205,158.50
  4. Step 4: Simplify right side
    856,559.81x = 1,452,407,010,122.25
  5. Step 5: Solve for x
    x = 1,452,407,010,122.25/856,559.81
  6. Step 6: Final answer
    x = 1,695,628.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.