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Finding the Third Proportional to 657,854.50 and 1,417,219

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Solution

The third proportional to 657,854.50 and 1,417,219 is: 3,053,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,854.50 : 1,417,219 = 1,417,219 : x
  2. Step 2: Convert to fraction form
    657,854.50/1,417,219 = 1,417,219/x
  3. Step 3: Cross multiply
    657,854.50x = 1,417,219 × 1,417,219
  4. Step 4: Simplify right side
    657,854.50x = 2,008,509,693,961
  5. Step 5: Solve for x
    x = 2,008,509,693,961/657,854.50
  6. Step 6: Final answer
    x = 3,053,121.46

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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.