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Finding the Third Proportional to 456,897 and 990,066

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Solution

The third proportional to 456,897 and 990,066 is: 2,145,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,897 : 990,066 = 990,066 : x
  2. Step 2: Convert to fraction form
    456,897/990,066 = 990,066/x
  3. Step 3: Cross multiply
    456,897x = 990,066 × 990,066
  4. Step 4: Simplify right side
    456,897x = 980,230,684,356
  5. Step 5: Solve for x
    x = 980,230,684,356/456,897
  6. Step 6: Final answer
    x = 2,145,408.45

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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.