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Finding the Third Proportional to 580,932 and 912,870

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Solution

The third proportional to 580,932 and 912,870 is: 1,434,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,932 : 912,870 = 912,870 : x
  2. Step 2: Convert to fraction form
    580,932/912,870 = 912,870/x
  3. Step 3: Cross multiply
    580,932x = 912,870 × 912,870
  4. Step 4: Simplify right side
    580,932x = 833,331,636,900
  5. Step 5: Solve for x
    x = 833,331,636,900/580,932
  6. Step 6: Final answer
    x = 1,434,473.63

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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.