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Finding the Third Proportional to 670,040 and 1,023,420

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Solution

The third proportional to 670,040 and 1,023,420 is: 1,563,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,040 : 1,023,420 = 1,023,420 : x
  2. Step 2: Convert to fraction form
    670,040/1,023,420 = 1,023,420/x
  3. Step 3: Cross multiply
    670,040x = 1,023,420 × 1,023,420
  4. Step 4: Simplify right side
    670,040x = 1,047,388,496,400
  5. Step 5: Solve for x
    x = 1,047,388,496,400/670,040
  6. Step 6: Final answer
    x = 1,563,173.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.