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Finding the Third Proportional to 584,392 and 1,257,556

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Solution

The third proportional to 584,392 and 1,257,556 is: 2,706,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,392 : 1,257,556 = 1,257,556 : x
  2. Step 2: Convert to fraction form
    584,392/1,257,556 = 1,257,556/x
  3. Step 3: Cross multiply
    584,392x = 1,257,556 × 1,257,556
  4. Step 4: Simplify right side
    584,392x = 1,581,447,093,136
  5. Step 5: Solve for x
    x = 1,581,447,093,136/584,392
  6. Step 6: Final answer
    x = 2,706,140.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.