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Finding the Third Proportional to 779,071.50 and 1,217,814.75

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Solution

The third proportional to 779,071.50 and 1,217,814.75 is: 1,903,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,071.50 : 1,217,814.75 = 1,217,814.75 : x
  2. Step 2: Convert to fraction form
    779,071.50/1,217,814.75 = 1,217,814.75/x
  3. Step 3: Cross multiply
    779,071.50x = 1,217,814.75 × 1,217,814.75
  4. Step 4: Simplify right side
    779,071.50x = 1,483,072,765,317.56
  5. Step 5: Solve for x
    x = 1,483,072,765,317.56/779,071.50
  6. Step 6: Final answer
    x = 1,903,641.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.