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Finding the Third Proportional to 759,972 and 1,185,968

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Solution

The third proportional to 759,972 and 1,185,968 is: 1,850,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,972 : 1,185,968 = 1,185,968 : x
  2. Step 2: Convert to fraction form
    759,972/1,185,968 = 1,185,968/x
  3. Step 3: Cross multiply
    759,972x = 1,185,968 × 1,185,968
  4. Step 4: Simplify right side
    759,972x = 1,406,520,097,024
  5. Step 5: Solve for x
    x = 1,406,520,097,024/759,972
  6. Step 6: Final answer
    x = 1,850,752.52

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