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Finding the Third Proportional to 427,347 and 911,897.25

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Solution

The third proportional to 427,347 and 911,897.25 is: 1,945,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,347 : 911,897.25 = 911,897.25 : x
  2. Step 2: Convert to fraction form
    427,347/911,897.25 = 911,897.25/x
  3. Step 3: Cross multiply
    427,347x = 911,897.25 × 911,897.25
  4. Step 4: Simplify right side
    427,347x = 831,556,594,557.56
  5. Step 5: Solve for x
    x = 831,556,594,557.56/427,347
  6. Step 6: Final answer
    x = 1,945,858.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.