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Finding the Third Proportional to 1,106,314.88 and 1,708,604.06

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Solution

The third proportional to 1,106,314.88 and 1,708,604.06 is: 2,638,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,314.88 : 1,708,604.06 = 1,708,604.06 : x
  2. Step 2: Convert to fraction form
    1,106,314.88/1,708,604.06 = 1,708,604.06/x
  3. Step 3: Cross multiply
    1,106,314.88x = 1,708,604.06 × 1,708,604.06
  4. Step 4: Simplify right side
    1,106,314.88x = 2,919,327,842,391.50
  5. Step 5: Solve for x
    x = 2,919,327,842,391.50/1,106,314.88
  6. Step 6: Final answer
    x = 2,638,785.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.