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Finding the Third Proportional to 2,103,136 and 4,575,321

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Solution

The third proportional to 2,103,136 and 4,575,321 is: 9,953,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,136 : 4,575,321 = 4,575,321 : x
  2. Step 2: Convert to fraction form
    2,103,136/4,575,321 = 4,575,321/x
  3. Step 3: Cross multiply
    2,103,136x = 4,575,321 × 4,575,321
  4. Step 4: Simplify right side
    2,103,136x = 20,933,562,253,041
  5. Step 5: Solve for x
    x = 20,933,562,253,041/2,103,136
  6. Step 6: Final answer
    x = 9,953,499.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.