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Finding the Third Proportional to 657,972 and 1,415,732

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Solution

The third proportional to 657,972 and 1,415,732 is: 3,046,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,972 : 1,415,732 = 1,415,732 : x
  2. Step 2: Convert to fraction form
    657,972/1,415,732 = 1,415,732/x
  3. Step 3: Cross multiply
    657,972x = 1,415,732 × 1,415,732
  4. Step 4: Simplify right side
    657,972x = 2,004,297,095,824
  5. Step 5: Solve for x
    x = 2,004,297,095,824/657,972
  6. Step 6: Final answer
    x = 3,046,173.84

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