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Finding the Third Proportional to 773,124 and 1,088,729

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Solution

The third proportional to 773,124 and 1,088,729 is: 1,533,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,124 : 1,088,729 = 1,088,729 : x
  2. Step 2: Convert to fraction form
    773,124/1,088,729 = 1,088,729/x
  3. Step 3: Cross multiply
    773,124x = 1,088,729 × 1,088,729
  4. Step 4: Simplify right side
    773,124x = 1,185,330,835,441
  5. Step 5: Solve for x
    x = 1,185,330,835,441/773,124
  6. Step 6: Final answer
    x = 1,533,170.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.