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Finding the Third Proportional to 927,792 and 1,977,083

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Solution

The third proportional to 927,792 and 1,977,083 is: 4,213,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,792 : 1,977,083 = 1,977,083 : x
  2. Step 2: Convert to fraction form
    927,792/1,977,083 = 1,977,083/x
  3. Step 3: Cross multiply
    927,792x = 1,977,083 × 1,977,083
  4. Step 4: Simplify right side
    927,792x = 3,908,857,188,889
  5. Step 5: Solve for x
    x = 3,908,857,188,889/927,792
  6. Step 6: Final answer
    x = 4,213,074.90

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Why These Related Problems?

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