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Finding the Third Proportional to 708,154 and 1,082,875

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Solution

The third proportional to 708,154 and 1,082,875 is: 1,655,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,154 : 1,082,875 = 1,082,875 : x
  2. Step 2: Convert to fraction form
    708,154/1,082,875 = 1,082,875/x
  3. Step 3: Cross multiply
    708,154x = 1,082,875 × 1,082,875
  4. Step 4: Simplify right side
    708,154x = 1,172,618,265,625
  5. Step 5: Solve for x
    x = 1,172,618,265,625/708,154
  6. Step 6: Final answer
    x = 1,655,880.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.