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Finding the Third Proportional to 1,227,035.25 and 2,566,822.50

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Solution

The third proportional to 1,227,035.25 and 2,566,822.50 is: 5,369,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,035.25 : 2,566,822.50 = 2,566,822.50 : x
  2. Step 2: Convert to fraction form
    1,227,035.25/2,566,822.50 = 2,566,822.50/x
  3. Step 3: Cross multiply
    1,227,035.25x = 2,566,822.50 × 2,566,822.50
  4. Step 4: Simplify right side
    1,227,035.25x = 6,588,577,746,506.25
  5. Step 5: Solve for x
    x = 6,588,577,746,506.25/1,227,035.25
  6. Step 6: Final answer
    x = 5,369,509.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.