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Finding the Third Proportional to 464,560 and 1,017,692

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Solution

The third proportional to 464,560 and 1,017,692 is: 2,229,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,560 : 1,017,692 = 1,017,692 : x
  2. Step 2: Convert to fraction form
    464,560/1,017,692 = 1,017,692/x
  3. Step 3: Cross multiply
    464,560x = 1,017,692 × 1,017,692
  4. Step 4: Simplify right side
    464,560x = 1,035,697,006,864
  5. Step 5: Solve for x
    x = 1,035,697,006,864/464,560
  6. Step 6: Final answer
    x = 2,229,414.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.