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Finding the Third Proportional to 829,686 and 1,303,688

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Solution

The third proportional to 829,686 and 1,303,688 is: 2,048,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,686 : 1,303,688 = 1,303,688 : x
  2. Step 2: Convert to fraction form
    829,686/1,303,688 = 1,303,688/x
  3. Step 3: Cross multiply
    829,686x = 1,303,688 × 1,303,688
  4. Step 4: Simplify right side
    829,686x = 1,699,602,401,344
  5. Step 5: Solve for x
    x = 1,699,602,401,344/829,686
  6. Step 6: Final answer
    x = 2,048,488.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.