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Finding the Third Proportional to 905,316 and 1,966,404

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Solution

The third proportional to 905,316 and 1,966,404 is: 4,271,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,316 : 1,966,404 = 1,966,404 : x
  2. Step 2: Convert to fraction form
    905,316/1,966,404 = 1,966,404/x
  3. Step 3: Cross multiply
    905,316x = 1,966,404 × 1,966,404
  4. Step 4: Simplify right side
    905,316x = 3,866,744,691,216
  5. Step 5: Solve for x
    x = 3,866,744,691,216/905,316
  6. Step 6: Final answer
    x = 4,271,154.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.