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Finding the Third Proportional to 716,319 and 1,083,699

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Solution

The third proportional to 716,319 and 1,083,699 is: 1,639,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,319 : 1,083,699 = 1,083,699 : x
  2. Step 2: Convert to fraction form
    716,319/1,083,699 = 1,083,699/x
  3. Step 3: Cross multiply
    716,319x = 1,083,699 × 1,083,699
  4. Step 4: Simplify right side
    716,319x = 1,174,403,522,601
  5. Step 5: Solve for x
    x = 1,174,403,522,601/716,319
  6. Step 6: Final answer
    x = 1,639,497.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.