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Finding the Third Proportional to 670,716 and 1,437,408

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Solution

The third proportional to 670,716 and 1,437,408 is: 3,080,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,716 : 1,437,408 = 1,437,408 : x
  2. Step 2: Convert to fraction form
    670,716/1,437,408 = 1,437,408/x
  3. Step 3: Cross multiply
    670,716x = 1,437,408 × 1,437,408
  4. Step 4: Simplify right side
    670,716x = 2,066,141,758,464
  5. Step 5: Solve for x
    x = 2,066,141,758,464/670,716
  6. Step 6: Final answer
    x = 3,080,501.67

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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.