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Finding the Third Proportional to 467,865 and 1,013,490

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Solution

The third proportional to 467,865 and 1,013,490 is: 2,195,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,865 : 1,013,490 = 1,013,490 : x
  2. Step 2: Convert to fraction form
    467,865/1,013,490 = 1,013,490/x
  3. Step 3: Cross multiply
    467,865x = 1,013,490 × 1,013,490
  4. Step 4: Simplify right side
    467,865x = 1,027,161,980,100
  5. Step 5: Solve for x
    x = 1,027,161,980,100/467,865
  6. Step 6: Final answer
    x = 2,195,423.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.