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Finding the Third Proportional to 446,735 and 955,798

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Solution

The third proportional to 446,735 and 955,798 is: 2,044,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,735 : 955,798 = 955,798 : x
  2. Step 2: Convert to fraction form
    446,735/955,798 = 955,798/x
  3. Step 3: Cross multiply
    446,735x = 955,798 × 955,798
  4. Step 4: Simplify right side
    446,735x = 913,549,816,804
  5. Step 5: Solve for x
    x = 913,549,816,804/446,735
  6. Step 6: Final answer
    x = 2,044,947.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.