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Finding the Third Proportional to 511,254 and 1,107,127.50

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Solution

The third proportional to 511,254 and 1,107,127.50 is: 2,397,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,254 : 1,107,127.50 = 1,107,127.50 : x
  2. Step 2: Convert to fraction form
    511,254/1,107,127.50 = 1,107,127.50/x
  3. Step 3: Cross multiply
    511,254x = 1,107,127.50 × 1,107,127.50
  4. Step 4: Simplify right side
    511,254x = 1,225,731,301,256.25
  5. Step 5: Solve for x
    x = 1,225,731,301,256.25/511,254
  6. Step 6: Final answer
    x = 2,397,499.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.