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Finding the Third Proportional to 2,153,430 and 3,136,671

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Solution

The third proportional to 2,153,430 and 3,136,671 is: 4,568,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,430 : 3,136,671 = 3,136,671 : x
  2. Step 2: Convert to fraction form
    2,153,430/3,136,671 = 3,136,671/x
  3. Step 3: Cross multiply
    2,153,430x = 3,136,671 × 3,136,671
  4. Step 4: Simplify right side
    2,153,430x = 9,838,704,962,241
  5. Step 5: Solve for x
    x = 9,838,704,962,241/2,153,430
  6. Step 6: Final answer
    x = 4,568,852.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.