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Finding the Third Proportional to 713,712 and 968,823

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Solution

The third proportional to 713,712 and 968,823 is: 1,315,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,712 : 968,823 = 968,823 : x
  2. Step 2: Convert to fraction form
    713,712/968,823 = 968,823/x
  3. Step 3: Cross multiply
    713,712x = 968,823 × 968,823
  4. Step 4: Simplify right side
    713,712x = 938,618,005,329
  5. Step 5: Solve for x
    x = 938,618,005,329/713,712
  6. Step 6: Final answer
    x = 1,315,121.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.