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Finding the Third Proportional to 853,187.36 and 1,200,068.20

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Solution

The third proportional to 853,187.36 and 1,200,068.20 is: 1,687,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,187.36 : 1,200,068.20 = 1,200,068.20 : x
  2. Step 2: Convert to fraction form
    853,187.36/1,200,068.20 = 1,200,068.20/x
  3. Step 3: Cross multiply
    853,187.36x = 1,200,068.20 × 1,200,068.20
  4. Step 4: Simplify right side
    853,187.36x = 1,440,163,674,572.35
  5. Step 5: Solve for x
    x = 1,440,163,674,572.35/853,187.36
  6. Step 6: Final answer
    x = 1,687,980.56

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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.