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Finding the Third Proportional to 2,170,569 and 4,656,066

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Solution

The third proportional to 2,170,569 and 4,656,066 is: 9,987,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,569 : 4,656,066 = 4,656,066 : x
  2. Step 2: Convert to fraction form
    2,170,569/4,656,066 = 4,656,066/x
  3. Step 3: Cross multiply
    2,170,569x = 4,656,066 × 4,656,066
  4. Step 4: Simplify right side
    2,170,569x = 21,678,950,596,356
  5. Step 5: Solve for x
    x = 21,678,950,596,356/2,170,569
  6. Step 6: Final answer
    x = 9,987,680.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.