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Finding the Third Proportional to 1,529,178.75 and 2,429,362.13

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Solution

The third proportional to 1,529,178.75 and 2,429,362.13 is: 3,859,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,178.75 : 2,429,362.13 = 2,429,362.13 : x
  2. Step 2: Convert to fraction form
    1,529,178.75/2,429,362.13 = 2,429,362.13/x
  3. Step 3: Cross multiply
    1,529,178.75x = 2,429,362.13 × 2,429,362.13
  4. Step 4: Simplify right side
    1,529,178.75x = 5,901,800,334,384.52
  5. Step 5: Solve for x
    x = 5,901,800,334,384.52/1,529,178.75
  6. Step 6: Final answer
    x = 3,859,457.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.