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Finding the Third Proportional to 897,823 and 1,938,082

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Solution

The third proportional to 897,823 and 1,938,082 is: 4,183,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,823 : 1,938,082 = 1,938,082 : x
  2. Step 2: Convert to fraction form
    897,823/1,938,082 = 1,938,082/x
  3. Step 3: Cross multiply
    897,823x = 1,938,082 × 1,938,082
  4. Step 4: Simplify right side
    897,823x = 3,756,161,838,724
  5. Step 5: Solve for x
    x = 3,756,161,838,724/897,823
  6. Step 6: Final answer
    x = 4,183,632.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.