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Finding the Third Proportional to 663,081 and 1,430,994

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Solution

The third proportional to 663,081 and 1,430,994 is: 3,088,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,081 : 1,430,994 = 1,430,994 : x
  2. Step 2: Convert to fraction form
    663,081/1,430,994 = 1,430,994/x
  3. Step 3: Cross multiply
    663,081x = 1,430,994 × 1,430,994
  4. Step 4: Simplify right side
    663,081x = 2,047,743,828,036
  5. Step 5: Solve for x
    x = 2,047,743,828,036/663,081
  6. Step 6: Final answer
    x = 3,088,225.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.