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Finding the Third Proportional to 422,342 and 910,699

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Solution

The third proportional to 422,342 and 910,699 is: 1,963,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,342 : 910,699 = 910,699 : x
  2. Step 2: Convert to fraction form
    422,342/910,699 = 910,699/x
  3. Step 3: Cross multiply
    422,342x = 910,699 × 910,699
  4. Step 4: Simplify right side
    422,342x = 829,372,668,601
  5. Step 5: Solve for x
    x = 829,372,668,601/422,342
  6. Step 6: Final answer
    x = 1,963,746.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.