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Finding the Third Proportional to 834,020 and 1,380,432

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Solution

The third proportional to 834,020 and 1,380,432 is: 2,284,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,020 : 1,380,432 = 1,380,432 : x
  2. Step 2: Convert to fraction form
    834,020/1,380,432 = 1,380,432/x
  3. Step 3: Cross multiply
    834,020x = 1,380,432 × 1,380,432
  4. Step 4: Simplify right side
    834,020x = 1,905,592,506,624
  5. Step 5: Solve for x
    x = 1,905,592,506,624/834,020
  6. Step 6: Final answer
    x = 2,284,828.31

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.