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Finding the Third Proportional to 1,076,101 and 1,648,050

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Solution

The third proportional to 1,076,101 and 1,648,050 is: 2,523,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,101 : 1,648,050 = 1,648,050 : x
  2. Step 2: Convert to fraction form
    1,076,101/1,648,050 = 1,648,050/x
  3. Step 3: Cross multiply
    1,076,101x = 1,648,050 × 1,648,050
  4. Step 4: Simplify right side
    1,076,101x = 2,716,068,802,500
  5. Step 5: Solve for x
    x = 2,716,068,802,500/1,076,101
  6. Step 6: Final answer
    x = 2,523,990.59

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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.