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Finding the Third Proportional to 834,572 and 1,798,724

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Solution

The third proportional to 834,572 and 1,798,724 is: 3,876,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,572 : 1,798,724 = 1,798,724 : x
  2. Step 2: Convert to fraction form
    834,572/1,798,724 = 1,798,724/x
  3. Step 3: Cross multiply
    834,572x = 1,798,724 × 1,798,724
  4. Step 4: Simplify right side
    834,572x = 3,235,408,028,176
  5. Step 5: Solve for x
    x = 3,235,408,028,176/834,572
  6. Step 6: Final answer
    x = 3,876,727.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.