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Finding the Third Proportional to 648,248 and 1,413,460

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Solution

The third proportional to 648,248 and 1,413,460 is: 3,081,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,248 : 1,413,460 = 1,413,460 : x
  2. Step 2: Convert to fraction form
    648,248/1,413,460 = 1,413,460/x
  3. Step 3: Cross multiply
    648,248x = 1,413,460 × 1,413,460
  4. Step 4: Simplify right side
    648,248x = 1,997,869,171,600
  5. Step 5: Solve for x
    x = 1,997,869,171,600/648,248
  6. Step 6: Final answer
    x = 3,081,951.93

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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.