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Finding the Third Proportional to 867,906 and 1,829,124

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Solution

The third proportional to 867,906 and 1,829,124 is: 3,854,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,906 : 1,829,124 = 1,829,124 : x
  2. Step 2: Convert to fraction form
    867,906/1,829,124 = 1,829,124/x
  3. Step 3: Cross multiply
    867,906x = 1,829,124 × 1,829,124
  4. Step 4: Simplify right side
    867,906x = 3,345,694,607,376
  5. Step 5: Solve for x
    x = 3,345,694,607,376/867,906
  6. Step 6: Final answer
    x = 3,854,904.34

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.