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Finding the Third Proportional to 456,946 and 990,158

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Solution

The third proportional to 456,946 and 990,158 is: 2,145,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,946 : 990,158 = 990,158 : x
  2. Step 2: Convert to fraction form
    456,946/990,158 = 990,158/x
  3. Step 3: Cross multiply
    456,946x = 990,158 × 990,158
  4. Step 4: Simplify right side
    456,946x = 980,412,864,964
  5. Step 5: Solve for x
    x = 980,412,864,964/456,946
  6. Step 6: Final answer
    x = 2,145,577.08

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Why These Related Problems?

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