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Finding the Third Proportional to 759,683 and 1,774,791

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Solution

The third proportional to 759,683 and 1,774,791 is: 4,146,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,683 : 1,774,791 = 1,774,791 : x
  2. Step 2: Convert to fraction form
    759,683/1,774,791 = 1,774,791/x
  3. Step 3: Cross multiply
    759,683x = 1,774,791 × 1,774,791
  4. Step 4: Simplify right side
    759,683x = 3,149,883,093,681
  5. Step 5: Solve for x
    x = 3,149,883,093,681/759,683
  6. Step 6: Final answer
    x = 4,146,312.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.