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Finding the Third Proportional to 2,849,613.75 and 4,199,070.38

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Solution

The third proportional to 2,849,613.75 and 4,199,070.38 is: 6,187,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849,613.75 : 4,199,070.38 = 4,199,070.38 : x
  2. Step 2: Convert to fraction form
    2,849,613.75/4,199,070.38 = 4,199,070.38/x
  3. Step 3: Cross multiply
    2,849,613.75x = 4,199,070.38 × 4,199,070.38
  4. Step 4: Simplify right side
    2,849,613.75x = 17,632,192,014,202.64
  5. Step 5: Solve for x
    x = 17,632,192,014,202.64/2,849,613.75
  6. Step 6: Final answer
    x = 6,187,572.62

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Why These Related Problems?

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