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Finding the Third Proportional to 468,032 and 912,736

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Solution

The third proportional to 468,032 and 912,736 is: 1,779,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032 : 912,736 = 912,736 : x
  2. Step 2: Convert to fraction form
    468,032/912,736 = 912,736/x
  3. Step 3: Cross multiply
    468,032x = 912,736 × 912,736
  4. Step 4: Simplify right side
    468,032x = 833,087,005,696
  5. Step 5: Solve for x
    x = 833,087,005,696/468,032
  6. Step 6: Final answer
    x = 1,779,978.73

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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.