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Finding the Third Proportional to 610,521 and 1,342,845

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Solution

The third proportional to 610,521 and 1,342,845 is: 2,953,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,521 : 1,342,845 = 1,342,845 : x
  2. Step 2: Convert to fraction form
    610,521/1,342,845 = 1,342,845/x
  3. Step 3: Cross multiply
    610,521x = 1,342,845 × 1,342,845
  4. Step 4: Simplify right side
    610,521x = 1,803,232,694,025
  5. Step 5: Solve for x
    x = 1,803,232,694,025/610,521
  6. Step 6: Final answer
    x = 2,953,596.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.