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Finding the Third Proportional to 645,761 and 1,409,545

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Solution

The third proportional to 645,761 and 1,409,545 is: 3,076,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,761 : 1,409,545 = 1,409,545 : x
  2. Step 2: Convert to fraction form
    645,761/1,409,545 = 1,409,545/x
  3. Step 3: Cross multiply
    645,761x = 1,409,545 × 1,409,545
  4. Step 4: Simplify right side
    645,761x = 1,986,817,107,025
  5. Step 5: Solve for x
    x = 1,986,817,107,025/645,761
  6. Step 6: Final answer
    x = 3,076,706.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.