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Finding the Third Proportional to 830,778 and 1,188,029

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Solution

The third proportional to 830,778 and 1,188,029 is: 1,698,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,778 : 1,188,029 = 1,188,029 : x
  2. Step 2: Convert to fraction form
    830,778/1,188,029 = 1,188,029/x
  3. Step 3: Cross multiply
    830,778x = 1,188,029 × 1,188,029
  4. Step 4: Simplify right side
    830,778x = 1,411,412,904,841
  5. Step 5: Solve for x
    x = 1,411,412,904,841/830,778
  6. Step 6: Final answer
    x = 1,698,905.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.