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Finding the Third Proportional to 658,018 and 1,415,852

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Solution

The third proportional to 658,018 and 1,415,852 is: 3,046,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,018 : 1,415,852 = 1,415,852 : x
  2. Step 2: Convert to fraction form
    658,018/1,415,852 = 1,415,852/x
  3. Step 3: Cross multiply
    658,018x = 1,415,852 × 1,415,852
  4. Step 4: Simplify right side
    658,018x = 2,004,636,885,904
  5. Step 5: Solve for x
    x = 2,004,636,885,904/658,018
  6. Step 6: Final answer
    x = 3,046,477.28

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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.