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Finding the Third Proportional to 1,139,616 and 2,431,776

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Solution

The third proportional to 1,139,616 and 2,431,776 is: 5,189,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,616 : 2,431,776 = 2,431,776 : x
  2. Step 2: Convert to fraction form
    1,139,616/2,431,776 = 2,431,776/x
  3. Step 3: Cross multiply
    1,139,616x = 2,431,776 × 2,431,776
  4. Step 4: Simplify right side
    1,139,616x = 5,913,534,514,176
  5. Step 5: Solve for x
    x = 5,913,534,514,176/1,139,616
  6. Step 6: Final answer
    x = 5,189,058.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.