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Finding the Third Proportional to 665,280 and 1,444,284

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Solution

The third proportional to 665,280 and 1,444,284 is: 3,135,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,280 : 1,444,284 = 1,444,284 : x
  2. Step 2: Convert to fraction form
    665,280/1,444,284 = 1,444,284/x
  3. Step 3: Cross multiply
    665,280x = 1,444,284 × 1,444,284
  4. Step 4: Simplify right side
    665,280x = 2,085,956,272,656
  5. Step 5: Solve for x
    x = 2,085,956,272,656/665,280
  6. Step 6: Final answer
    x = 3,135,456.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.