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Finding the Third Proportional to 617,973 and 1,353,766.50

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Solution

The third proportional to 617,973 and 1,353,766.50 is: 2,965,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,973 : 1,353,766.50 = 1,353,766.50 : x
  2. Step 2: Convert to fraction form
    617,973/1,353,766.50 = 1,353,766.50/x
  3. Step 3: Cross multiply
    617,973x = 1,353,766.50 × 1,353,766.50
  4. Step 4: Simplify right side
    617,973x = 1,832,683,736,522.25
  5. Step 5: Solve for x
    x = 1,832,683,736,522.25/617,973
  6. Step 6: Final answer
    x = 2,965,637.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.