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Finding the Third Proportional to 580,928 and 912,896

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Solution

The third proportional to 580,928 and 912,896 is: 1,434,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,928 : 912,896 = 912,896 : x
  2. Step 2: Convert to fraction form
    580,928/912,896 = 912,896/x
  3. Step 3: Cross multiply
    580,928x = 912,896 × 912,896
  4. Step 4: Simplify right side
    580,928x = 833,379,106,816
  5. Step 5: Solve for x
    x = 833,379,106,816/580,928
  6. Step 6: Final answer
    x = 1,434,565.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.