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Finding the Third Proportional to 3,421,880 and 4,784,032

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Solution

The third proportional to 3,421,880 and 4,784,032 is: 6,688,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,880 : 4,784,032 = 4,784,032 : x
  2. Step 2: Convert to fraction form
    3,421,880/4,784,032 = 4,784,032/x
  3. Step 3: Cross multiply
    3,421,880x = 4,784,032 × 4,784,032
  4. Step 4: Simplify right side
    3,421,880x = 22,886,962,177,024
  5. Step 5: Solve for x
    x = 22,886,962,177,024/3,421,880
  6. Step 6: Final answer
    x = 6,688,417.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.