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Finding the Third Proportional to 503,768 and 1,064,390

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Solution

The third proportional to 503,768 and 1,064,390 is: 2,248,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,768 : 1,064,390 = 1,064,390 : x
  2. Step 2: Convert to fraction form
    503,768/1,064,390 = 1,064,390/x
  3. Step 3: Cross multiply
    503,768x = 1,064,390 × 1,064,390
  4. Step 4: Simplify right side
    503,768x = 1,132,926,072,100
  5. Step 5: Solve for x
    x = 1,132,926,072,100/503,768
  6. Step 6: Final answer
    x = 2,248,904.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.