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Finding the Third Proportional to 1,172,790.14 and 1,873,000.34

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Solution

The third proportional to 1,172,790.14 and 1,873,000.34 is: 2,991,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,790.14 : 1,873,000.34 = 1,873,000.34 : x
  2. Step 2: Convert to fraction form
    1,172,790.14/1,873,000.34 = 1,873,000.34/x
  3. Step 3: Cross multiply
    1,172,790.14x = 1,873,000.34 × 1,873,000.34
  4. Step 4: Simplify right side
    1,172,790.14x = 3,508,130,258,421.99
  5. Step 5: Solve for x
    x = 3,508,130,258,421.99/1,172,790.14
  6. Step 6: Final answer
    x = 2,991,268.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.