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Finding the Third Proportional to 580,646 and 912,441

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Solution

The third proportional to 580,646 and 912,441 is: 1,433,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,646 : 912,441 = 912,441 : x
  2. Step 2: Convert to fraction form
    580,646/912,441 = 912,441/x
  3. Step 3: Cross multiply
    580,646x = 912,441 × 912,441
  4. Step 4: Simplify right side
    580,646x = 832,548,578,481
  5. Step 5: Solve for x
    x = 832,548,578,481/580,646
  6. Step 6: Final answer
    x = 1,433,831.59

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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.