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Finding the Third Proportional to 4,535,136 and 6,874,686

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Solution

The third proportional to 4,535,136 and 6,874,686 is: 10,421,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,136 : 6,874,686 = 6,874,686 : x
  2. Step 2: Convert to fraction form
    4,535,136/6,874,686 = 6,874,686/x
  3. Step 3: Cross multiply
    4,535,136x = 6,874,686 × 6,874,686
  4. Step 4: Simplify right side
    4,535,136x = 47,261,307,598,596
  5. Step 5: Solve for x
    x = 47,261,307,598,596/4,535,136
  6. Step 6: Final answer
    x = 10,421,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.