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Finding the Third Proportional to 1,106,784 and 1,683,139.50

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Solution

The third proportional to 1,106,784 and 1,683,139.50 is: 2,559,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,784 : 1,683,139.50 = 1,683,139.50 : x
  2. Step 2: Convert to fraction form
    1,106,784/1,683,139.50 = 1,683,139.50/x
  3. Step 3: Cross multiply
    1,106,784x = 1,683,139.50 × 1,683,139.50
  4. Step 4: Simplify right side
    1,106,784x = 2,832,958,576,460.25
  5. Step 5: Solve for x
    x = 2,832,958,576,460.25/1,106,784
  6. Step 6: Final answer
    x = 2,559,630.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.