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Finding the Third Proportional to 591,123 and 1,281,030

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Solution

The third proportional to 591,123 and 1,281,030 is: 2,776,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,123 : 1,281,030 = 1,281,030 : x
  2. Step 2: Convert to fraction form
    591,123/1,281,030 = 1,281,030/x
  3. Step 3: Cross multiply
    591,123x = 1,281,030 × 1,281,030
  4. Step 4: Simplify right side
    591,123x = 1,641,037,860,900
  5. Step 5: Solve for x
    x = 1,641,037,860,900/591,123
  6. Step 6: Final answer
    x = 2,776,136.03

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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.