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Finding the Third Proportional to 787,172 and 1,683,784

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Solution

The third proportional to 787,172 and 1,683,784 is: 3,601,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,172 : 1,683,784 = 1,683,784 : x
  2. Step 2: Convert to fraction form
    787,172/1,683,784 = 1,683,784/x
  3. Step 3: Cross multiply
    787,172x = 1,683,784 × 1,683,784
  4. Step 4: Simplify right side
    787,172x = 2,835,128,558,656
  5. Step 5: Solve for x
    x = 2,835,128,558,656/787,172
  6. Step 6: Final answer
    x = 3,601,663.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.