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Finding the Third Proportional to 438,735 and 957,768

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Solution

The third proportional to 438,735 and 957,768 is: 2,090,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,735 : 957,768 = 957,768 : x
  2. Step 2: Convert to fraction form
    438,735/957,768 = 957,768/x
  3. Step 3: Cross multiply
    438,735x = 957,768 × 957,768
  4. Step 4: Simplify right side
    438,735x = 917,319,541,824
  5. Step 5: Solve for x
    x = 917,319,541,824/438,735
  6. Step 6: Final answer
    x = 2,090,828.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.