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Finding the Third Proportional to 2,171,065 and 4,640,911

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Solution

The third proportional to 2,171,065 and 4,640,911 is: 9,920,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,065 : 4,640,911 = 4,640,911 : x
  2. Step 2: Convert to fraction form
    2,171,065/4,640,911 = 4,640,911/x
  3. Step 3: Cross multiply
    2,171,065x = 4,640,911 × 4,640,911
  4. Step 4: Simplify right side
    2,171,065x = 21,538,054,909,921
  5. Step 5: Solve for x
    x = 21,538,054,909,921/2,171,065
  6. Step 6: Final answer
    x = 9,920,502.11

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