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Finding the Third Proportional to 713,651 and 1,043,682

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Solution

The third proportional to 713,651 and 1,043,682 is: 1,526,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,651 : 1,043,682 = 1,043,682 : x
  2. Step 2: Convert to fraction form
    713,651/1,043,682 = 1,043,682/x
  3. Step 3: Cross multiply
    713,651x = 1,043,682 × 1,043,682
  4. Step 4: Simplify right side
    713,651x = 1,089,272,117,124
  5. Step 5: Solve for x
    x = 1,089,272,117,124/713,651
  6. Step 6: Final answer
    x = 1,526,337.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.