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Finding the Third Proportional to 734,853 and 1,574,682

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Solution

The third proportional to 734,853 and 1,574,682 is: 3,374,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,853 : 1,574,682 = 1,574,682 : x
  2. Step 2: Convert to fraction form
    734,853/1,574,682 = 1,574,682/x
  3. Step 3: Cross multiply
    734,853x = 1,574,682 × 1,574,682
  4. Step 4: Simplify right side
    734,853x = 2,479,623,401,124
  5. Step 5: Solve for x
    x = 2,479,623,401,124/734,853
  6. Step 6: Final answer
    x = 3,374,312.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.