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Finding the Third Proportional to 1,076,446 and 2,537,485

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Solution

The third proportional to 1,076,446 and 2,537,485 is: 5,981,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,446 : 2,537,485 = 2,537,485 : x
  2. Step 2: Convert to fraction form
    1,076,446/2,537,485 = 2,537,485/x
  3. Step 3: Cross multiply
    1,076,446x = 2,537,485 × 2,537,485
  4. Step 4: Simplify right side
    1,076,446x = 6,438,830,125,225
  5. Step 5: Solve for x
    x = 6,438,830,125,225/1,076,446
  6. Step 6: Final answer
    x = 5,981,563.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.