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Finding the Third Proportional to 964,469 and 2,038,288

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Solution

The third proportional to 964,469 and 2,038,288 is: 4,307,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,469 : 2,038,288 = 2,038,288 : x
  2. Step 2: Convert to fraction form
    964,469/2,038,288 = 2,038,288/x
  3. Step 3: Cross multiply
    964,469x = 2,038,288 × 2,038,288
  4. Step 4: Simplify right side
    964,469x = 4,154,617,970,944
  5. Step 5: Solve for x
    x = 4,154,617,970,944/964,469
  6. Step 6: Final answer
    x = 4,307,673.93

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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.