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Finding the Third Proportional to 1,957,284 and 4,299,480

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Solution

The third proportional to 1,957,284 and 4,299,480 is: 9,444,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,284 : 4,299,480 = 4,299,480 : x
  2. Step 2: Convert to fraction form
    1,957,284/4,299,480 = 4,299,480/x
  3. Step 3: Cross multiply
    1,957,284x = 4,299,480 × 4,299,480
  4. Step 4: Simplify right side
    1,957,284x = 18,485,528,270,400
  5. Step 5: Solve for x
    x = 18,485,528,270,400/1,957,284
  6. Step 6: Final answer
    x = 9,444,479.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.