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Finding the Third Proportional to 405,714 and 865,706

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Solution

The third proportional to 405,714 and 865,706 is: 1,847,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,714 : 865,706 = 865,706 : x
  2. Step 2: Convert to fraction form
    405,714/865,706 = 865,706/x
  3. Step 3: Cross multiply
    405,714x = 865,706 × 865,706
  4. Step 4: Simplify right side
    405,714x = 749,446,878,436
  5. Step 5: Solve for x
    x = 749,446,878,436/405,714
  6. Step 6: Final answer
    x = 1,847,229.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.