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Finding the Third Proportional to 3,421,533 and 4,783,527

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Solution

The third proportional to 3,421,533 and 4,783,527 is: 6,687,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,533 : 4,783,527 = 4,783,527 : x
  2. Step 2: Convert to fraction form
    3,421,533/4,783,527 = 4,783,527/x
  3. Step 3: Cross multiply
    3,421,533x = 4,783,527 × 4,783,527
  4. Step 4: Simplify right side
    3,421,533x = 22,882,130,559,729
  5. Step 5: Solve for x
    x = 22,882,130,559,729/3,421,533
  6. Step 6: Final answer
    x = 6,687,683.73

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Why These Related Problems?

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