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Finding the Third Proportional to 2,032,854 and 2,992,963

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Solution

The third proportional to 2,032,854 and 2,992,963 is: 4,406,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,854 : 2,992,963 = 2,992,963 : x
  2. Step 2: Convert to fraction form
    2,032,854/2,992,963 = 2,992,963/x
  3. Step 3: Cross multiply
    2,032,854x = 2,992,963 × 2,992,963
  4. Step 4: Simplify right side
    2,032,854x = 8,957,827,519,369
  5. Step 5: Solve for x
    x = 8,957,827,519,369/2,032,854
  6. Step 6: Final answer
    x = 4,406,527.73

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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.