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Finding the Third Proportional to 734,851 and 1,574,677

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Solution

The third proportional to 734,851 and 1,574,677 is: 3,374,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,851 : 1,574,677 = 1,574,677 : x
  2. Step 2: Convert to fraction form
    734,851/1,574,677 = 1,574,677/x
  3. Step 3: Cross multiply
    734,851x = 1,574,677 × 1,574,677
  4. Step 4: Simplify right side
    734,851x = 2,479,607,654,329
  5. Step 5: Solve for x
    x = 2,479,607,654,329/734,851
  6. Step 6: Final answer
    x = 3,374,299.90

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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.