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Finding the Third Proportional to 584,118 and 1,267,380

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Solution

The third proportional to 584,118 and 1,267,380 is: 2,749,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,118 : 1,267,380 = 1,267,380 : x
  2. Step 2: Convert to fraction form
    584,118/1,267,380 = 1,267,380/x
  3. Step 3: Cross multiply
    584,118x = 1,267,380 × 1,267,380
  4. Step 4: Simplify right side
    584,118x = 1,606,252,064,400
  5. Step 5: Solve for x
    x = 1,606,252,064,400/584,118
  6. Step 6: Final answer
    x = 2,749,875.99

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