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Finding the Third Proportional to 1,919,128 and 4,103,984

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Solution

The third proportional to 1,919,128 and 4,103,984 is: 8,776,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,128 : 4,103,984 = 4,103,984 : x
  2. Step 2: Convert to fraction form
    1,919,128/4,103,984 = 4,103,984/x
  3. Step 3: Cross multiply
    1,919,128x = 4,103,984 × 4,103,984
  4. Step 4: Simplify right side
    1,919,128x = 16,842,684,672,256
  5. Step 5: Solve for x
    x = 16,842,684,672,256/1,919,128
  6. Step 6: Final answer
    x = 8,776,217.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.