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Finding the Third Proportional to 2,946,754 and 4,159,329

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Solution

The third proportional to 2,946,754 and 4,159,329 is: 5,870,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,754 : 4,159,329 = 4,159,329 : x
  2. Step 2: Convert to fraction form
    2,946,754/4,159,329 = 4,159,329/x
  3. Step 3: Cross multiply
    2,946,754x = 4,159,329 × 4,159,329
  4. Step 4: Simplify right side
    2,946,754x = 17,300,017,730,241
  5. Step 5: Solve for x
    x = 17,300,017,730,241/2,946,754
  6. Step 6: Final answer
    x = 5,870,872.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.