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Finding the Third Proportional to 845,696 and 1,774,430

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Solution

The third proportional to 845,696 and 1,774,430 is: 3,723,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,696 : 1,774,430 = 1,774,430 : x
  2. Step 2: Convert to fraction form
    845,696/1,774,430 = 1,774,430/x
  3. Step 3: Cross multiply
    845,696x = 1,774,430 × 1,774,430
  4. Step 4: Simplify right side
    845,696x = 3,148,601,824,900
  5. Step 5: Solve for x
    x = 3,148,601,824,900/845,696
  6. Step 6: Final answer
    x = 3,723,089.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.