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Finding the Third Proportional to 2,130,684 and 4,577,591

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Solution

The third proportional to 2,130,684 and 4,577,591 is: 9,834,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,684 : 4,577,591 = 4,577,591 : x
  2. Step 2: Convert to fraction form
    2,130,684/4,577,591 = 4,577,591/x
  3. Step 3: Cross multiply
    2,130,684x = 4,577,591 × 4,577,591
  4. Step 4: Simplify right side
    2,130,684x = 20,954,339,363,281
  5. Step 5: Solve for x
    x = 20,954,339,363,281/2,130,684
  6. Step 6: Final answer
    x = 9,834,559.87

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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.