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Finding the Third Proportional to 2,849,578 and 4,199,018

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Solution

The third proportional to 2,849,578 and 4,199,018 is: 6,187,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849,578 : 4,199,018 = 4,199,018 : x
  2. Step 2: Convert to fraction form
    2,849,578/4,199,018 = 4,199,018/x
  3. Step 3: Cross multiply
    2,849,578x = 4,199,018 × 4,199,018
  4. Step 4: Simplify right side
    2,849,578x = 17,631,752,164,324
  5. Step 5: Solve for x
    x = 17,631,752,164,324/2,849,578
  6. Step 6: Final answer
    x = 6,187,495.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.