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Finding the Third Proportional to 540,306 and 1,164,420

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Solution

The third proportional to 540,306 and 1,164,420 is: 2,509,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,306 : 1,164,420 = 1,164,420 : x
  2. Step 2: Convert to fraction form
    540,306/1,164,420 = 1,164,420/x
  3. Step 3: Cross multiply
    540,306x = 1,164,420 × 1,164,420
  4. Step 4: Simplify right side
    540,306x = 1,355,873,936,400
  5. Step 5: Solve for x
    x = 1,355,873,936,400/540,306
  6. Step 6: Final answer
    x = 2,509,455.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.