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Finding the Third Proportional to 460,852 and 958,490

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Solution

The third proportional to 460,852 and 958,490 is: 1,993,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,852 : 958,490 = 958,490 : x
  2. Step 2: Convert to fraction form
    460,852/958,490 = 958,490/x
  3. Step 3: Cross multiply
    460,852x = 958,490 × 958,490
  4. Step 4: Simplify right side
    460,852x = 918,703,080,100
  5. Step 5: Solve for x
    x = 918,703,080,100/460,852
  6. Step 6: Final answer
    x = 1,993,488.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.