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Finding the Third Proportional to 713,634 and 1,043,660

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Solution

The third proportional to 713,634 and 1,043,660 is: 1,526,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,634 : 1,043,660 = 1,043,660 : x
  2. Step 2: Convert to fraction form
    713,634/1,043,660 = 1,043,660/x
  3. Step 3: Cross multiply
    713,634x = 1,043,660 × 1,043,660
  4. Step 4: Simplify right side
    713,634x = 1,089,226,195,600
  5. Step 5: Solve for x
    x = 1,089,226,195,600/713,634
  6. Step 6: Final answer
    x = 1,526,309.28

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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.