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Finding the Third Proportional to 592,974 and 1,269,594

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Solution

The third proportional to 592,974 and 1,269,594 is: 2,718,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,974 : 1,269,594 = 1,269,594 : x
  2. Step 2: Convert to fraction form
    592,974/1,269,594 = 1,269,594/x
  3. Step 3: Cross multiply
    592,974x = 1,269,594 × 1,269,594
  4. Step 4: Simplify right side
    592,974x = 1,611,868,924,836
  5. Step 5: Solve for x
    x = 1,611,868,924,836/592,974
  6. Step 6: Final answer
    x = 2,718,279.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.