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Finding the Third Proportional to 2,130,680 and 4,577,584

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Solution

The third proportional to 2,130,680 and 4,577,584 is: 9,834,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,680 : 4,577,584 = 4,577,584 : x
  2. Step 2: Convert to fraction form
    2,130,680/4,577,584 = 4,577,584/x
  3. Step 3: Cross multiply
    2,130,680x = 4,577,584 × 4,577,584
  4. Step 4: Simplify right side
    2,130,680x = 20,954,275,277,056
  5. Step 5: Solve for x
    x = 20,954,275,277,056/2,130,680
  6. Step 6: Final answer
    x = 9,834,548.26

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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.