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Finding the Third Proportional to 2,303,528.94 and 5,012,199.63

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Solution

The third proportional to 2,303,528.94 and 5,012,199.63 is: 10,905,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,528.94 : 5,012,199.63 = 5,012,199.63 : x
  2. Step 2: Convert to fraction form
    2,303,528.94/5,012,199.63 = 5,012,199.63/x
  3. Step 3: Cross multiply
    2,303,528.94x = 5,012,199.63 × 5,012,199.63
  4. Step 4: Simplify right side
    2,303,528.94x = 25,122,145,159,165.76
  5. Step 5: Solve for x
    x = 25,122,145,159,165.76/2,303,528.94
  6. Step 6: Final answer
    x = 10,905,938.58

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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.