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Finding the Third Proportional to 946,653 and 2,037,648

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Solution

The third proportional to 946,653 and 2,037,648 is: 4,385,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,653 : 2,037,648 = 2,037,648 : x
  2. Step 2: Convert to fraction form
    946,653/2,037,648 = 2,037,648/x
  3. Step 3: Cross multiply
    946,653x = 2,037,648 × 2,037,648
  4. Step 4: Simplify right side
    946,653x = 4,152,009,371,904
  5. Step 5: Solve for x
    x = 4,152,009,371,904/946,653
  6. Step 6: Final answer
    x = 4,385,988.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.