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Finding the Third Proportional to 540,756 and 841,698

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Solution

The third proportional to 540,756 and 841,698 is: 1,310,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,756 : 841,698 = 841,698 : x
  2. Step 2: Convert to fraction form
    540,756/841,698 = 841,698/x
  3. Step 3: Cross multiply
    540,756x = 841,698 × 841,698
  4. Step 4: Simplify right side
    540,756x = 708,455,523,204
  5. Step 5: Solve for x
    x = 708,455,523,204/540,756
  6. Step 6: Final answer
    x = 1,310,120.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.