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Finding the Third Proportional to 585,812 and 937,682

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Solution

The third proportional to 585,812 and 937,682 is: 1,500,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,812 : 937,682 = 937,682 : x
  2. Step 2: Convert to fraction form
    585,812/937,682 = 937,682/x
  3. Step 3: Cross multiply
    585,812x = 937,682 × 937,682
  4. Step 4: Simplify right side
    585,812x = 879,247,533,124
  5. Step 5: Solve for x
    x = 879,247,533,124/585,812
  6. Step 6: Final answer
    x = 1,500,903.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.