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Finding the Third Proportional to 692,683 and 1,036,237

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Solution

The third proportional to 692,683 and 1,036,237 is: 1,550,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,683 : 1,036,237 = 1,036,237 : x
  2. Step 2: Convert to fraction form
    692,683/1,036,237 = 1,036,237/x
  3. Step 3: Cross multiply
    692,683x = 1,036,237 × 1,036,237
  4. Step 4: Simplify right side
    692,683x = 1,073,787,120,169
  5. Step 5: Solve for x
    x = 1,073,787,120,169/692,683
  6. Step 6: Final answer
    x = 1,550,185.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.