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Finding the Third Proportional to 856,011 and 1,807,507.50

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Solution

The third proportional to 856,011 and 1,807,507.50 is: 3,816,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,011 : 1,807,507.50 = 1,807,507.50 : x
  2. Step 2: Convert to fraction form
    856,011/1,807,507.50 = 1,807,507.50/x
  3. Step 3: Cross multiply
    856,011x = 1,807,507.50 × 1,807,507.50
  4. Step 4: Simplify right side
    856,011x = 3,267,083,362,556.25
  5. Step 5: Solve for x
    x = 3,267,083,362,556.25/856,011
  6. Step 6: Final answer
    x = 3,816,637.13

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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.