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Finding the Third Proportional to 2,071,109 and 4,430,065

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Solution

The third proportional to 2,071,109 and 4,430,065 is: 9,475,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,109 : 4,430,065 = 4,430,065 : x
  2. Step 2: Convert to fraction form
    2,071,109/4,430,065 = 4,430,065/x
  3. Step 3: Cross multiply
    2,071,109x = 4,430,065 × 4,430,065
  4. Step 4: Simplify right side
    2,071,109x = 19,625,475,904,225
  5. Step 5: Solve for x
    x = 19,625,475,904,225/2,071,109
  6. Step 6: Final answer
    x = 9,475,829.57

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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.