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Finding the Third Proportional to 585,814 and 937,684

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Solution

The third proportional to 585,814 and 937,684 is: 1,500,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,814 : 937,684 = 937,684 : x
  2. Step 2: Convert to fraction form
    585,814/937,684 = 937,684/x
  3. Step 3: Cross multiply
    585,814x = 937,684 × 937,684
  4. Step 4: Simplify right side
    585,814x = 879,251,283,856
  5. Step 5: Solve for x
    x = 879,251,283,856/585,814
  6. Step 6: Final answer
    x = 1,500,905.21

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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.