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Finding the Third Proportional to 787,213.69 and 1,215,599.91

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Solution

The third proportional to 787,213.69 and 1,215,599.91 is: 1,877,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,213.69 : 1,215,599.91 = 1,215,599.91 : x
  2. Step 2: Convert to fraction form
    787,213.69/1,215,599.91 = 1,215,599.91/x
  3. Step 3: Cross multiply
    787,213.69x = 1,215,599.91 × 1,215,599.91
  4. Step 4: Simplify right side
    787,213.69x = 1,477,683,132,075.01
  5. Step 5: Solve for x
    x = 1,477,683,132,075.01/787,213.69
  6. Step 6: Final answer
    x = 1,877,105.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.