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Finding the Third Proportional to 468,036 and 912,744

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Solution

The third proportional to 468,036 and 912,744 is: 1,779,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,036 : 912,744 = 912,744 : x
  2. Step 2: Convert to fraction form
    468,036/912,744 = 912,744/x
  3. Step 3: Cross multiply
    468,036x = 912,744 × 912,744
  4. Step 4: Simplify right side
    468,036x = 833,101,609,536
  5. Step 5: Solve for x
    x = 833,101,609,536/468,036
  6. Step 6: Final answer
    x = 1,779,994.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.