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Finding the Third Proportional to 700,836 and 1,097,967

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Solution

The third proportional to 700,836 and 1,097,967 is: 1,720,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,836 : 1,097,967 = 1,097,967 : x
  2. Step 2: Convert to fraction form
    700,836/1,097,967 = 1,097,967/x
  3. Step 3: Cross multiply
    700,836x = 1,097,967 × 1,097,967
  4. Step 4: Simplify right side
    700,836x = 1,205,531,533,089
  5. Step 5: Solve for x
    x = 1,205,531,533,089/700,836
  6. Step 6: Final answer
    x = 1,720,133.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.