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Finding the Third Proportional to 706,178 and 906,714

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Solution

The third proportional to 706,178 and 906,714 is: 1,164,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,178 : 906,714 = 906,714 : x
  2. Step 2: Convert to fraction form
    706,178/906,714 = 906,714/x
  3. Step 3: Cross multiply
    706,178x = 906,714 × 906,714
  4. Step 4: Simplify right side
    706,178x = 822,130,277,796
  5. Step 5: Solve for x
    x = 822,130,277,796/706,178
  6. Step 6: Final answer
    x = 1,164,196.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.