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Finding the Third Proportional to 699,704 and 1,106,205

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Solution

The third proportional to 699,704 and 1,106,205 is: 1,748,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,704 : 1,106,205 = 1,106,205 : x
  2. Step 2: Convert to fraction form
    699,704/1,106,205 = 1,106,205/x
  3. Step 3: Cross multiply
    699,704x = 1,106,205 × 1,106,205
  4. Step 4: Simplify right side
    699,704x = 1,223,689,502,025
  5. Step 5: Solve for x
    x = 1,223,689,502,025/699,704
  6. Step 6: Final answer
    x = 1,748,867.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.