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Finding the Third Proportional to 687,173.63 and 1,048,529.81

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Solution

The third proportional to 687,173.63 and 1,048,529.81 is: 1,599,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,173.63 : 1,048,529.81 = 1,048,529.81 : x
  2. Step 2: Convert to fraction form
    687,173.63/1,048,529.81 = 1,048,529.81/x
  3. Step 3: Cross multiply
    687,173.63x = 1,048,529.81 × 1,048,529.81
  4. Step 4: Simplify right side
    687,173.63x = 1,099,414,767,701.29
  5. Step 5: Solve for x
    x = 1,099,414,767,701.29/687,173.63
  6. Step 6: Final answer
    x = 1,599,908.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.