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Finding the Third Proportional to 788,305 and 1,202,140

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Solution

The third proportional to 788,305 and 1,202,140 is: 1,833,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,305 : 1,202,140 = 1,202,140 : x
  2. Step 2: Convert to fraction form
    788,305/1,202,140 = 1,202,140/x
  3. Step 3: Cross multiply
    788,305x = 1,202,140 × 1,202,140
  4. Step 4: Simplify right side
    788,305x = 1,445,140,579,600
  5. Step 5: Solve for x
    x = 1,445,140,579,600/788,305
  6. Step 6: Final answer
    x = 1,833,225.19

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Why These Related Problems?

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