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Finding the Third Proportional to 670,004 and 1,458,108

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Solution

The third proportional to 670,004 and 1,458,108 is: 3,173,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,004 : 1,458,108 = 1,458,108 : x
  2. Step 2: Convert to fraction form
    670,004/1,458,108 = 1,458,108/x
  3. Step 3: Cross multiply
    670,004x = 1,458,108 × 1,458,108
  4. Step 4: Simplify right side
    670,004x = 2,126,078,939,664
  5. Step 5: Solve for x
    x = 2,126,078,939,664/670,004
  6. Step 6: Final answer
    x = 3,173,233.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.