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Finding the Third Proportional to 648,025.50 and 1,413,963

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Solution

The third proportional to 648,025.50 and 1,413,963 is: 3,085,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,025.50 : 1,413,963 = 1,413,963 : x
  2. Step 2: Convert to fraction form
    648,025.50/1,413,963 = 1,413,963/x
  3. Step 3: Cross multiply
    648,025.50x = 1,413,963 × 1,413,963
  4. Step 4: Simplify right side
    648,025.50x = 1,999,291,365,369
  5. Step 5: Solve for x
    x = 1,999,291,365,369/648,025.50
  6. Step 6: Final answer
    x = 3,085,204.77

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Why These Related Problems?

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