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Finding the Third Proportional to 525,110.63 and 1,151,875.13

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Solution

The third proportional to 525,110.63 and 1,151,875.13 is: 2,526,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,110.63 : 1,151,875.13 = 1,151,875.13 : x
  2. Step 2: Convert to fraction form
    525,110.63/1,151,875.13 = 1,151,875.13/x
  3. Step 3: Cross multiply
    525,110.63x = 1,151,875.13 × 1,151,875.13
  4. Step 4: Simplify right side
    525,110.63x = 1,326,816,303,593.77
  5. Step 5: Solve for x
    x = 1,326,816,303,593.77/525,110.63
  6. Step 6: Final answer
    x = 2,526,736.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.