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Finding the Third Proportional to 503,832 and 1,064,538

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Solution

The third proportional to 503,832 and 1,064,538 is: 2,249,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,832 : 1,064,538 = 1,064,538 : x
  2. Step 2: Convert to fraction form
    503,832/1,064,538 = 1,064,538/x
  3. Step 3: Cross multiply
    503,832x = 1,064,538 × 1,064,538
  4. Step 4: Simplify right side
    503,832x = 1,133,241,153,444
  5. Step 5: Solve for x
    x = 1,133,241,153,444/503,832
  6. Step 6: Final answer
    x = 2,249,244.10

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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.