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Finding the Third Proportional to 906,939 and 1,977,174

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Solution

The third proportional to 906,939 and 1,977,174 is: 4,310,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,939 : 1,977,174 = 1,977,174 : x
  2. Step 2: Convert to fraction form
    906,939/1,977,174 = 1,977,174/x
  3. Step 3: Cross multiply
    906,939x = 1,977,174 × 1,977,174
  4. Step 4: Simplify right side
    906,939x = 3,909,217,026,276
  5. Step 5: Solve for x
    x = 3,909,217,026,276/906,939
  6. Step 6: Final answer
    x = 4,310,341.74

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