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Finding the Third Proportional to 830,678 and 1,090,743

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Solution

The third proportional to 830,678 and 1,090,743 is: 1,432,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,678 : 1,090,743 = 1,090,743 : x
  2. Step 2: Convert to fraction form
    830,678/1,090,743 = 1,090,743/x
  3. Step 3: Cross multiply
    830,678x = 1,090,743 × 1,090,743
  4. Step 4: Simplify right side
    830,678x = 1,189,720,292,049
  5. Step 5: Solve for x
    x = 1,189,720,292,049/830,678
  6. Step 6: Final answer
    x = 1,432,228.00

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.