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Finding the Third Proportional to 740,195 and 1,590,526

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Solution

The third proportional to 740,195 and 1,590,526 is: 3,417,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,195 : 1,590,526 = 1,590,526 : x
  2. Step 2: Convert to fraction form
    740,195/1,590,526 = 1,590,526/x
  3. Step 3: Cross multiply
    740,195x = 1,590,526 × 1,590,526
  4. Step 4: Simplify right side
    740,195x = 2,529,772,956,676
  5. Step 5: Solve for x
    x = 2,529,772,956,676/740,195
  6. Step 6: Final answer
    x = 3,417,711.49

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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.