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Finding the Third Proportional to 788,305 and 1,202,139

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Solution

The third proportional to 788,305 and 1,202,139 is: 1,833,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,305 : 1,202,139 = 1,202,139 : x
  2. Step 2: Convert to fraction form
    788,305/1,202,139 = 1,202,139/x
  3. Step 3: Cross multiply
    788,305x = 1,202,139 × 1,202,139
  4. Step 4: Simplify right side
    788,305x = 1,445,138,175,321
  5. Step 5: Solve for x
    x = 1,445,138,175,321/788,305
  6. Step 6: Final answer
    x = 1,833,222.14

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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.