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Finding the Third Proportional to 460,202 and 988,714

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Solution

The third proportional to 460,202 and 988,714 is: 2,124,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,202 : 988,714 = 988,714 : x
  2. Step 2: Convert to fraction form
    460,202/988,714 = 988,714/x
  3. Step 3: Cross multiply
    460,202x = 988,714 × 988,714
  4. Step 4: Simplify right side
    460,202x = 977,555,373,796
  5. Step 5: Solve for x
    x = 977,555,373,796/460,202
  6. Step 6: Final answer
    x = 2,124,187.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.