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Finding the Third Proportional to 1,032,906 and 2,228,964

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Solution

The third proportional to 1,032,906 and 2,228,964 is: 4,810,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,906 : 2,228,964 = 2,228,964 : x
  2. Step 2: Convert to fraction form
    1,032,906/2,228,964 = 2,228,964/x
  3. Step 3: Cross multiply
    1,032,906x = 2,228,964 × 2,228,964
  4. Step 4: Simplify right side
    1,032,906x = 4,968,280,513,296
  5. Step 5: Solve for x
    x = 4,968,280,513,296/1,032,906
  6. Step 6: Final answer
    x = 4,810,002.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.