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Finding the Third Proportional to 2,574,373.50 and 3,496,329

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Solution

The third proportional to 2,574,373.50 and 3,496,329 is: 4,748,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,373.50 : 3,496,329 = 3,496,329 : x
  2. Step 2: Convert to fraction form
    2,574,373.50/3,496,329 = 3,496,329/x
  3. Step 3: Cross multiply
    2,574,373.50x = 3,496,329 × 3,496,329
  4. Step 4: Simplify right side
    2,574,373.50x = 12,224,316,476,241
  5. Step 5: Solve for x
    x = 12,224,316,476,241/2,574,373.50
  6. Step 6: Final answer
    x = 4,748,462.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.