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Finding the Third Proportional to 815,946 and 1,348,458

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Solution

The third proportional to 815,946 and 1,348,458 is: 2,228,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,946 : 1,348,458 = 1,348,458 : x
  2. Step 2: Convert to fraction form
    815,946/1,348,458 = 1,348,458/x
  3. Step 3: Cross multiply
    815,946x = 1,348,458 × 1,348,458
  4. Step 4: Simplify right side
    815,946x = 1,818,338,977,764
  5. Step 5: Solve for x
    x = 1,818,338,977,764/815,946
  6. Step 6: Final answer
    x = 2,228,504.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.