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Finding the Third Proportional to 2,298,570 and 3,637,887

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Solution

The third proportional to 2,298,570 and 3,637,887 is: 5,757,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,570 : 3,637,887 = 3,637,887 : x
  2. Step 2: Convert to fraction form
    2,298,570/3,637,887 = 3,637,887/x
  3. Step 3: Cross multiply
    2,298,570x = 3,637,887 × 3,637,887
  4. Step 4: Simplify right side
    2,298,570x = 13,234,221,824,769
  5. Step 5: Solve for x
    x = 13,234,221,824,769/2,298,570
  6. Step 6: Final answer
    x = 5,757,589.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.