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Finding the Third Proportional to 644,301 and 1,399,284

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Solution

The third proportional to 644,301 and 1,399,284 is: 3,038,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,301 : 1,399,284 = 1,399,284 : x
  2. Step 2: Convert to fraction form
    644,301/1,399,284 = 1,399,284/x
  3. Step 3: Cross multiply
    644,301x = 1,399,284 × 1,399,284
  4. Step 4: Simplify right side
    644,301x = 1,957,995,712,656
  5. Step 5: Solve for x
    x = 1,957,995,712,656/644,301
  6. Step 6: Final answer
    x = 3,038,945.64

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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.