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Finding the Third Proportional to 685,152 and 1,043,904

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Solution

The third proportional to 685,152 and 1,043,904 is: 1,590,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,152 : 1,043,904 = 1,043,904 : x
  2. Step 2: Convert to fraction form
    685,152/1,043,904 = 1,043,904/x
  3. Step 3: Cross multiply
    685,152x = 1,043,904 × 1,043,904
  4. Step 4: Simplify right side
    685,152x = 1,089,735,561,216
  5. Step 5: Solve for x
    x = 1,089,735,561,216/685,152
  6. Step 6: Final answer
    x = 1,590,501.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.