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Finding the Third Proportional to 584,202 and 1,276,539

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Solution

The third proportional to 584,202 and 1,276,539 is: 2,789,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,202 : 1,276,539 = 1,276,539 : x
  2. Step 2: Convert to fraction form
    584,202/1,276,539 = 1,276,539/x
  3. Step 3: Cross multiply
    584,202x = 1,276,539 × 1,276,539
  4. Step 4: Simplify right side
    584,202x = 1,629,551,818,521
  5. Step 5: Solve for x
    x = 1,629,551,818,521/584,202
  6. Step 6: Final answer
    x = 2,789,363.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.