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Finding the Third Proportional to 975,912 and 2,076,240

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Solution

The third proportional to 975,912 and 2,076,240 is: 4,417,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,912 : 2,076,240 = 2,076,240 : x
  2. Step 2: Convert to fraction form
    975,912/2,076,240 = 2,076,240/x
  3. Step 3: Cross multiply
    975,912x = 2,076,240 × 2,076,240
  4. Step 4: Simplify right side
    975,912x = 4,310,772,537,600
  5. Step 5: Solve for x
    x = 4,310,772,537,600/975,912
  6. Step 6: Final answer
    x = 4,417,173.41

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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.