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Finding the Third Proportional to 759,964 and 1,185,954

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Solution

The third proportional to 759,964 and 1,185,954 is: 1,850,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,964 : 1,185,954 = 1,185,954 : x
  2. Step 2: Convert to fraction form
    759,964/1,185,954 = 1,185,954/x
  3. Step 3: Cross multiply
    759,964x = 1,185,954 × 1,185,954
  4. Step 4: Simplify right side
    759,964x = 1,406,486,890,116
  5. Step 5: Solve for x
    x = 1,406,486,890,116/759,964
  6. Step 6: Final answer
    x = 1,850,728.31

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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.