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Finding the Third Proportional to 623,082 and 1,351,140

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Solution

The third proportional to 623,082 and 1,351,140 is: 2,929,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,082 : 1,351,140 = 1,351,140 : x
  2. Step 2: Convert to fraction form
    623,082/1,351,140 = 1,351,140/x
  3. Step 3: Cross multiply
    623,082x = 1,351,140 × 1,351,140
  4. Step 4: Simplify right side
    623,082x = 1,825,579,299,600
  5. Step 5: Solve for x
    x = 1,825,579,299,600/623,082
  6. Step 6: Final answer
    x = 2,929,918.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.