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Finding the Third Proportional to 713,071 and 1,069,761

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Solution

The third proportional to 713,071 and 1,069,761 is: 1,604,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,071 : 1,069,761 = 1,069,761 : x
  2. Step 2: Convert to fraction form
    713,071/1,069,761 = 1,069,761/x
  3. Step 3: Cross multiply
    713,071x = 1,069,761 × 1,069,761
  4. Step 4: Simplify right side
    713,071x = 1,144,388,597,121
  5. Step 5: Solve for x
    x = 1,144,388,597,121/713,071
  6. Step 6: Final answer
    x = 1,604,873.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.