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Finding the Third Proportional to 648,246 and 1,413,456

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Solution

The third proportional to 648,246 and 1,413,456 is: 3,081,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,246 : 1,413,456 = 1,413,456 : x
  2. Step 2: Convert to fraction form
    648,246/1,413,456 = 1,413,456/x
  3. Step 3: Cross multiply
    648,246x = 1,413,456 × 1,413,456
  4. Step 4: Simplify right side
    648,246x = 1,997,857,863,936
  5. Step 5: Solve for x
    x = 1,997,857,863,936/648,246
  6. Step 6: Final answer
    x = 3,081,943.99

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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.