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Finding the Third Proportional to 681,507 and 1,069,146

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Solution

The third proportional to 681,507 and 1,069,146 is: 1,677,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,507 : 1,069,146 = 1,069,146 : x
  2. Step 2: Convert to fraction form
    681,507/1,069,146 = 1,069,146/x
  3. Step 3: Cross multiply
    681,507x = 1,069,146 × 1,069,146
  4. Step 4: Simplify right side
    681,507x = 1,143,073,169,316
  5. Step 5: Solve for x
    x = 1,143,073,169,316/681,507
  6. Step 6: Final answer
    x = 1,677,272.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.