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Finding the Third Proportional to 619,245 and 1,024,871

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Solution

The third proportional to 619,245 and 1,024,871 is: 1,696,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,245 : 1,024,871 = 1,024,871 : x
  2. Step 2: Convert to fraction form
    619,245/1,024,871 = 1,024,871/x
  3. Step 3: Cross multiply
    619,245x = 1,024,871 × 1,024,871
  4. Step 4: Simplify right side
    619,245x = 1,050,360,566,641
  5. Step 5: Solve for x
    x = 1,050,360,566,641/619,245
  6. Step 6: Final answer
    x = 1,696,195.47

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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.