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Finding the Third Proportional to 645,431 and 1,402,805

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Solution

The third proportional to 645,431 and 1,402,805 is: 3,048,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,431 : 1,402,805 = 1,402,805 : x
  2. Step 2: Convert to fraction form
    645,431/1,402,805 = 1,402,805/x
  3. Step 3: Cross multiply
    645,431x = 1,402,805 × 1,402,805
  4. Step 4: Simplify right side
    645,431x = 1,967,861,868,025
  5. Step 5: Solve for x
    x = 1,967,861,868,025/645,431
  6. Step 6: Final answer
    x = 3,048,911.30

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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.