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Finding the Third Proportional to 1,129,128 and 2,421,984

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Solution

The third proportional to 1,129,128 and 2,421,984 is: 5,195,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,128 : 2,421,984 = 2,421,984 : x
  2. Step 2: Convert to fraction form
    1,129,128/2,421,984 = 2,421,984/x
  3. Step 3: Cross multiply
    1,129,128x = 2,421,984 × 2,421,984
  4. Step 4: Simplify right side
    1,129,128x = 5,866,006,496,256
  5. Step 5: Solve for x
    x = 5,866,006,496,256/1,129,128
  6. Step 6: Final answer
    x = 5,195,165.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.