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Finding the Third Proportional to 918,648 and 1,351,716

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Solution

The third proportional to 918,648 and 1,351,716 is: 1,988,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,648 : 1,351,716 = 1,351,716 : x
  2. Step 2: Convert to fraction form
    918,648/1,351,716 = 1,351,716/x
  3. Step 3: Cross multiply
    918,648x = 1,351,716 × 1,351,716
  4. Step 4: Simplify right side
    918,648x = 1,827,136,144,656
  5. Step 5: Solve for x
    x = 1,827,136,144,656/918,648
  6. Step 6: Final answer
    x = 1,988,940.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.