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Finding the Third Proportional to 670,232 and 1,458,403

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Solution

The third proportional to 670,232 and 1,458,403 is: 3,173,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,232 : 1,458,403 = 1,458,403 : x
  2. Step 2: Convert to fraction form
    670,232/1,458,403 = 1,458,403/x
  3. Step 3: Cross multiply
    670,232x = 1,458,403 × 1,458,403
  4. Step 4: Simplify right side
    670,232x = 2,126,939,310,409
  5. Step 5: Solve for x
    x = 2,126,939,310,409/670,232
  6. Step 6: Final answer
    x = 3,173,437.42

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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.