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Finding the Third Proportional to 636,881 and 929,066

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Solution

The third proportional to 636,881 and 929,066 is: 1,355,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,881 : 929,066 = 929,066 : x
  2. Step 2: Convert to fraction form
    636,881/929,066 = 929,066/x
  3. Step 3: Cross multiply
    636,881x = 929,066 × 929,066
  4. Step 4: Simplify right side
    636,881x = 863,163,632,356
  5. Step 5: Solve for x
    x = 863,163,632,356/636,881
  6. Step 6: Final answer
    x = 1,355,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.