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Finding the Third Proportional to 2,386,014 and 3,613,770

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Solution

The third proportional to 2,386,014 and 3,613,770 is: 5,473,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386,014 : 3,613,770 = 3,613,770 : x
  2. Step 2: Convert to fraction form
    2,386,014/3,613,770 = 3,613,770/x
  3. Step 3: Cross multiply
    2,386,014x = 3,613,770 × 3,613,770
  4. Step 4: Simplify right side
    2,386,014x = 13,059,333,612,900
  5. Step 5: Solve for x
    x = 13,059,333,612,900/2,386,014
  6. Step 6: Final answer
    x = 5,473,284.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.