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Finding the Third Proportional to 589,401 and 1,221,007.50

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Solution

The third proportional to 589,401 and 1,221,007.50 is: 2,529,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,401 : 1,221,007.50 = 1,221,007.50 : x
  2. Step 2: Convert to fraction form
    589,401/1,221,007.50 = 1,221,007.50/x
  3. Step 3: Cross multiply
    589,401x = 1,221,007.50 × 1,221,007.50
  4. Step 4: Simplify right side
    589,401x = 1,490,859,315,056.25
  5. Step 5: Solve for x
    x = 1,490,859,315,056.25/589,401
  6. Step 6: Final answer
    x = 2,529,448.23

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.