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Finding the Third Proportional to 1,661,459.34 and 3,671,676.84

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Solution

The third proportional to 1,661,459.34 and 3,671,676.84 is: 8,114,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,459.34 : 3,671,676.84 = 3,671,676.84 : x
  2. Step 2: Convert to fraction form
    1,661,459.34/3,671,676.84 = 3,671,676.84/x
  3. Step 3: Cross multiply
    1,661,459.34x = 3,671,676.84 × 3,671,676.84
  4. Step 4: Simplify right side
    1,661,459.34x = 13,481,210,844,929.96
  5. Step 5: Solve for x
    x = 13,481,210,844,929.96/1,661,459.34
  6. Step 6: Final answer
    x = 8,114,078.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.