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Finding the Third Proportional to 657,816 and 1,417,146

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Solution

The third proportional to 657,816 and 1,417,146 is: 3,052,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,816 : 1,417,146 = 1,417,146 : x
  2. Step 2: Convert to fraction form
    657,816/1,417,146 = 1,417,146/x
  3. Step 3: Cross multiply
    657,816x = 1,417,146 × 1,417,146
  4. Step 4: Simplify right side
    657,816x = 2,008,302,785,316
  5. Step 5: Solve for x
    x = 2,008,302,785,316/657,816
  6. Step 6: Final answer
    x = 3,052,985.61

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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.