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Finding the Third Proportional to 682,506 and 1,468,044

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Solution

The third proportional to 682,506 and 1,468,044 is: 3,157,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,506 : 1,468,044 = 1,468,044 : x
  2. Step 2: Convert to fraction form
    682,506/1,468,044 = 1,468,044/x
  3. Step 3: Cross multiply
    682,506x = 1,468,044 × 1,468,044
  4. Step 4: Simplify right side
    682,506x = 2,155,153,185,936
  5. Step 5: Solve for x
    x = 2,155,153,185,936/682,506
  6. Step 6: Final answer
    x = 3,157,705.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.