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Finding the Third Proportional to 975,960 and 2,076,336

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Solution

The third proportional to 975,960 and 2,076,336 is: 4,417,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,960 : 2,076,336 = 2,076,336 : x
  2. Step 2: Convert to fraction form
    975,960/2,076,336 = 2,076,336/x
  3. Step 3: Cross multiply
    975,960x = 2,076,336 × 2,076,336
  4. Step 4: Simplify right side
    975,960x = 4,311,171,184,896
  5. Step 5: Solve for x
    x = 4,311,171,184,896/975,960
  6. Step 6: Final answer
    x = 4,417,364.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.