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Finding the Third Proportional to 964,470 and 2,061,804

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Solution

The third proportional to 964,470 and 2,061,804 is: 4,407,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,470 : 2,061,804 = 2,061,804 : x
  2. Step 2: Convert to fraction form
    964,470/2,061,804 = 2,061,804/x
  3. Step 3: Cross multiply
    964,470x = 2,061,804 × 2,061,804
  4. Step 4: Simplify right side
    964,470x = 4,251,035,734,416
  5. Step 5: Solve for x
    x = 4,251,035,734,416/964,470
  6. Step 6: Final answer
    x = 4,407,639.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.