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Finding the Third Proportional to 702,335 and 1,511,195

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Solution

The third proportional to 702,335 and 1,511,195 is: 3,251,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,335 : 1,511,195 = 1,511,195 : x
  2. Step 2: Convert to fraction form
    702,335/1,511,195 = 1,511,195/x
  3. Step 3: Cross multiply
    702,335x = 1,511,195 × 1,511,195
  4. Step 4: Simplify right side
    702,335x = 2,283,710,328,025
  5. Step 5: Solve for x
    x = 2,283,710,328,025/702,335
  6. Step 6: Final answer
    x = 3,251,596.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.