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Finding the Third Proportional to 854,690.06 and 1,303,743.94

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Solution

The third proportional to 854,690.06 and 1,303,743.94 is: 1,988,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,690.06 : 1,303,743.94 = 1,303,743.94 : x
  2. Step 2: Convert to fraction form
    854,690.06/1,303,743.94 = 1,303,743.94/x
  3. Step 3: Cross multiply
    854,690.06x = 1,303,743.94 × 1,303,743.94
  4. Step 4: Simplify right side
    854,690.06x = 1,699,748,254,568.00
  5. Step 5: Solve for x
    x = 1,699,748,254,568.00/854,690.06
  6. Step 6: Final answer
    x = 1,988,730.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.