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Finding the Third Proportional to 920,394 and 1,968,724

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Solution

The third proportional to 920,394 and 1,968,724 is: 4,211,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,394 : 1,968,724 = 1,968,724 : x
  2. Step 2: Convert to fraction form
    920,394/1,968,724 = 1,968,724/x
  3. Step 3: Cross multiply
    920,394x = 1,968,724 × 1,968,724
  4. Step 4: Simplify right side
    920,394x = 3,875,874,188,176
  5. Step 5: Solve for x
    x = 3,875,874,188,176/920,394
  6. Step 6: Final answer
    x = 4,211,103.28

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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.