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Finding the Third Proportional to 719,858 and 1,117,515

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Solution

The third proportional to 719,858 and 1,117,515 is: 1,734,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,858 : 1,117,515 = 1,117,515 : x
  2. Step 2: Convert to fraction form
    719,858/1,117,515 = 1,117,515/x
  3. Step 3: Cross multiply
    719,858x = 1,117,515 × 1,117,515
  4. Step 4: Simplify right side
    719,858x = 1,248,839,775,225
  5. Step 5: Solve for x
    x = 1,248,839,775,225/719,858
  6. Step 6: Final answer
    x = 1,734,841.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.