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Finding the Third Proportional to 759,970 and 1,185,963

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Solution

The third proportional to 759,970 and 1,185,963 is: 1,850,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,970 : 1,185,963 = 1,185,963 : x
  2. Step 2: Convert to fraction form
    759,970/1,185,963 = 1,185,963/x
  3. Step 3: Cross multiply
    759,970x = 1,185,963 × 1,185,963
  4. Step 4: Simplify right side
    759,970x = 1,406,508,237,369
  5. Step 5: Solve for x
    x = 1,406,508,237,369/759,970
  6. Step 6: Final answer
    x = 1,850,741.79

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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.