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Finding the Third Proportional to 608,319 and 1,323,665

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Solution

The third proportional to 608,319 and 1,323,665 is: 2,880,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,319 : 1,323,665 = 1,323,665 : x
  2. Step 2: Convert to fraction form
    608,319/1,323,665 = 1,323,665/x
  3. Step 3: Cross multiply
    608,319x = 1,323,665 × 1,323,665
  4. Step 4: Simplify right side
    608,319x = 1,752,089,032,225
  5. Step 5: Solve for x
    x = 1,752,089,032,225/608,319
  6. Step 6: Final answer
    x = 2,880,214.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.