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Finding the Third Proportional to 616,260 and 946,818

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Solution

The third proportional to 616,260 and 946,818 is: 1,454,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,260 : 946,818 = 946,818 : x
  2. Step 2: Convert to fraction form
    616,260/946,818 = 946,818/x
  3. Step 3: Cross multiply
    616,260x = 946,818 × 946,818
  4. Step 4: Simplify right side
    616,260x = 896,464,325,124
  5. Step 5: Solve for x
    x = 896,464,325,124/616,260
  6. Step 6: Final answer
    x = 1,454,685.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.