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Finding the Third Proportional to 761,436 and 1,637,702

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Solution

The third proportional to 761,436 and 1,637,702 is: 3,522,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,436 : 1,637,702 = 1,637,702 : x
  2. Step 2: Convert to fraction form
    761,436/1,637,702 = 1,637,702/x
  3. Step 3: Cross multiply
    761,436x = 1,637,702 × 1,637,702
  4. Step 4: Simplify right side
    761,436x = 2,682,067,840,804
  5. Step 5: Solve for x
    x = 2,682,067,840,804/761,436
  6. Step 6: Final answer
    x = 3,522,381.19

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Why These Related Problems?

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