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Finding the Third Proportional to 2,029,766 and 4,365,712

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Solution

The third proportional to 2,029,766 and 4,365,712 is: 9,389,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,766 : 4,365,712 = 4,365,712 : x
  2. Step 2: Convert to fraction form
    2,029,766/4,365,712 = 4,365,712/x
  3. Step 3: Cross multiply
    2,029,766x = 4,365,712 × 4,365,712
  4. Step 4: Simplify right side
    2,029,766x = 19,059,441,266,944
  5. Step 5: Solve for x
    x = 19,059,441,266,944/2,029,766
  6. Step 6: Final answer
    x = 9,389,969.71

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Why These Related Problems?

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