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Finding the Third Proportional to 1,925,943.75 and 4,066,753.50

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Solution

The third proportional to 1,925,943.75 and 4,066,753.50 is: 8,587,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,943.75 : 4,066,753.50 = 4,066,753.50 : x
  2. Step 2: Convert to fraction form
    1,925,943.75/4,066,753.50 = 4,066,753.50/x
  3. Step 3: Cross multiply
    1,925,943.75x = 4,066,753.50 × 4,066,753.50
  4. Step 4: Simplify right side
    1,925,943.75x = 16,538,484,029,762.25
  5. Step 5: Solve for x
    x = 16,538,484,029,762.25/1,925,943.75
  6. Step 6: Final answer
    x = 8,587,210.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.