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Finding the Third Proportional to 968,688 and 1,329,749

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Solution

The third proportional to 968,688 and 1,329,749 is: 1,825,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,688 : 1,329,749 = 1,329,749 : x
  2. Step 2: Convert to fraction form
    968,688/1,329,749 = 1,329,749/x
  3. Step 3: Cross multiply
    968,688x = 1,329,749 × 1,329,749
  4. Step 4: Simplify right side
    968,688x = 1,768,232,403,001
  5. Step 5: Solve for x
    x = 1,768,232,403,001/968,688
  6. Step 6: Final answer
    x = 1,825,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.