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Finding the Third Proportional to 631,704 and 1,000,176

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Solution

The third proportional to 631,704 and 1,000,176 is: 1,583,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,704 : 1,000,176 = 1,000,176 : x
  2. Step 2: Convert to fraction form
    631,704/1,000,176 = 1,000,176/x
  3. Step 3: Cross multiply
    631,704x = 1,000,176 × 1,000,176
  4. Step 4: Simplify right side
    631,704x = 1,000,352,030,976
  5. Step 5: Solve for x
    x = 1,000,352,030,976/631,704
  6. Step 6: Final answer
    x = 1,583,577.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.