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Finding the Third Proportional to 1,018,356.05 and 2,120,416.10

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Solution

The third proportional to 1,018,356.05 and 2,120,416.10 is: 4,415,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,356.05 : 2,120,416.10 = 2,120,416.10 : x
  2. Step 2: Convert to fraction form
    1,018,356.05/2,120,416.10 = 2,120,416.10/x
  3. Step 3: Cross multiply
    1,018,356.05x = 2,120,416.10 × 2,120,416.10
  4. Step 4: Simplify right side
    1,018,356.05x = 4,496,164,443,765.51
  5. Step 5: Solve for x
    x = 4,496,164,443,765.51/1,018,356.05
  6. Step 6: Final answer
    x = 4,415,120.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.