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Finding the Third Proportional to 759,807 and 1,203,138

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Solution

The third proportional to 759,807 and 1,203,138 is: 1,905,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,807 : 1,203,138 = 1,203,138 : x
  2. Step 2: Convert to fraction form
    759,807/1,203,138 = 1,203,138/x
  3. Step 3: Cross multiply
    759,807x = 1,203,138 × 1,203,138
  4. Step 4: Simplify right side
    759,807x = 1,447,541,047,044
  5. Step 5: Solve for x
    x = 1,447,541,047,044/759,807
  6. Step 6: Final answer
    x = 1,905,143.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.