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Finding the Third Proportional to 964,467 and 2,038,284

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Solution

The third proportional to 964,467 and 2,038,284 is: 4,307,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,467 : 2,038,284 = 2,038,284 : x
  2. Step 2: Convert to fraction form
    964,467/2,038,284 = 2,038,284/x
  3. Step 3: Cross multiply
    964,467x = 2,038,284 × 2,038,284
  4. Step 4: Simplify right side
    964,467x = 4,154,601,664,656
  5. Step 5: Solve for x
    x = 4,154,601,664,656/964,467
  6. Step 6: Final answer
    x = 4,307,665.96

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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.