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Finding the Third Proportional to 905,754 and 1,938,352

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Solution

The third proportional to 905,754 and 1,938,352 is: 4,148,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,754 : 1,938,352 = 1,938,352 : x
  2. Step 2: Convert to fraction form
    905,754/1,938,352 = 1,938,352/x
  3. Step 3: Cross multiply
    905,754x = 1,938,352 × 1,938,352
  4. Step 4: Simplify right side
    905,754x = 3,757,208,475,904
  5. Step 5: Solve for x
    x = 3,757,208,475,904/905,754
  6. Step 6: Final answer
    x = 4,148,155.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.