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Finding the Third Proportional to 759,937 and 1,185,914

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Solution

The third proportional to 759,937 and 1,185,914 is: 1,850,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,937 : 1,185,914 = 1,185,914 : x
  2. Step 2: Convert to fraction form
    759,937/1,185,914 = 1,185,914/x
  3. Step 3: Cross multiply
    759,937x = 1,185,914 × 1,185,914
  4. Step 4: Simplify right side
    759,937x = 1,406,392,015,396
  5. Step 5: Solve for x
    x = 1,406,392,015,396/759,937
  6. Step 6: Final answer
    x = 1,850,669.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.