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Finding the Third Proportional to 846,056 and 1,160,172

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Solution

The third proportional to 846,056 and 1,160,172 is: 1,590,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,056 : 1,160,172 = 1,160,172 : x
  2. Step 2: Convert to fraction form
    846,056/1,160,172 = 1,160,172/x
  3. Step 3: Cross multiply
    846,056x = 1,160,172 × 1,160,172
  4. Step 4: Simplify right side
    846,056x = 1,345,999,069,584
  5. Step 5: Solve for x
    x = 1,345,999,069,584/846,056
  6. Step 6: Final answer
    x = 1,590,910.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.