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Finding the Third Proportional to 713,226 and 1,538,803

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Solution

The third proportional to 713,226 and 1,538,803 is: 3,320,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,226 : 1,538,803 = 1,538,803 : x
  2. Step 2: Convert to fraction form
    713,226/1,538,803 = 1,538,803/x
  3. Step 3: Cross multiply
    713,226x = 1,538,803 × 1,538,803
  4. Step 4: Simplify right side
    713,226x = 2,367,914,672,809
  5. Step 5: Solve for x
    x = 2,367,914,672,809/713,226
  6. Step 6: Final answer
    x = 3,320,006.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.