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Finding the Third Proportional to 906,369.75 and 1,974,577.50

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Solution

The third proportional to 906,369.75 and 1,974,577.50 is: 4,301,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,369.75 : 1,974,577.50 = 1,974,577.50 : x
  2. Step 2: Convert to fraction form
    906,369.75/1,974,577.50 = 1,974,577.50/x
  3. Step 3: Cross multiply
    906,369.75x = 1,974,577.50 × 1,974,577.50
  4. Step 4: Simplify right side
    906,369.75x = 3,898,956,303,506.25
  5. Step 5: Solve for x
    x = 3,898,956,303,506.25/906,369.75
  6. Step 6: Final answer
    x = 4,301,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.