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Finding the Third Proportional to 773,120 and 1,088,724

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Solution

The third proportional to 773,120 and 1,088,724 is: 1,533,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,120 : 1,088,724 = 1,088,724 : x
  2. Step 2: Convert to fraction form
    773,120/1,088,724 = 1,088,724/x
  3. Step 3: Cross multiply
    773,120x = 1,088,724 × 1,088,724
  4. Step 4: Simplify right side
    773,120x = 1,185,319,948,176
  5. Step 5: Solve for x
    x = 1,185,319,948,176/773,120
  6. Step 6: Final answer
    x = 1,533,164.25

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