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Finding the Third Proportional to 462,735 and 938,349

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Solution

The third proportional to 462,735 and 938,349 is: 1,902,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,735 : 938,349 = 938,349 : x
  2. Step 2: Convert to fraction form
    462,735/938,349 = 938,349/x
  3. Step 3: Cross multiply
    462,735x = 938,349 × 938,349
  4. Step 4: Simplify right side
    462,735x = 880,498,845,801
  5. Step 5: Solve for x
    x = 880,498,845,801/462,735
  6. Step 6: Final answer
    x = 1,902,814.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.