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Finding the Third Proportional to 1,076,100 and 1,648,048.50

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Solution

The third proportional to 1,076,100 and 1,648,048.50 is: 2,523,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,100 : 1,648,048.50 = 1,648,048.50 : x
  2. Step 2: Convert to fraction form
    1,076,100/1,648,048.50 = 1,648,048.50/x
  3. Step 3: Cross multiply
    1,076,100x = 1,648,048.50 × 1,648,048.50
  4. Step 4: Simplify right side
    1,076,100x = 2,716,063,858,352.25
  5. Step 5: Solve for x
    x = 2,716,063,858,352.25/1,076,100
  6. Step 6: Final answer
    x = 2,523,988.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.