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Finding the Third Proportional to 657,954 and 1,415,700

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Solution

The third proportional to 657,954 and 1,415,700 is: 3,046,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,954 : 1,415,700 = 1,415,700 : x
  2. Step 2: Convert to fraction form
    657,954/1,415,700 = 1,415,700/x
  3. Step 3: Cross multiply
    657,954x = 1,415,700 × 1,415,700
  4. Step 4: Simplify right side
    657,954x = 2,004,206,490,000
  5. Step 5: Solve for x
    x = 2,004,206,490,000/657,954
  6. Step 6: Final answer
    x = 3,046,119.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.