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Finding the Third Proportional to 722,700 and 1,124,082

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Solution

The third proportional to 722,700 and 1,124,082 is: 1,748,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,700 : 1,124,082 = 1,124,082 : x
  2. Step 2: Convert to fraction form
    722,700/1,124,082 = 1,124,082/x
  3. Step 3: Cross multiply
    722,700x = 1,124,082 × 1,124,082
  4. Step 4: Simplify right side
    722,700x = 1,263,560,342,724
  5. Step 5: Solve for x
    x = 1,263,560,342,724/722,700
  6. Step 6: Final answer
    x = 1,748,388.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.