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Finding the Third Proportional to 409,590 and 897,914

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Solution

The third proportional to 409,590 and 897,914 is: 1,968,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,590 : 897,914 = 897,914 : x
  2. Step 2: Convert to fraction form
    409,590/897,914 = 897,914/x
  3. Step 3: Cross multiply
    409,590x = 897,914 × 897,914
  4. Step 4: Simplify right side
    409,590x = 806,249,551,396
  5. Step 5: Solve for x
    x = 806,249,551,396/409,590
  6. Step 6: Final answer
    x = 1,968,430.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.