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Finding the Third Proportional to 421,443 and 912,870

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Solution

The third proportional to 421,443 and 912,870 is: 1,977,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,443 : 912,870 = 912,870 : x
  2. Step 2: Convert to fraction form
    421,443/912,870 = 912,870/x
  3. Step 3: Cross multiply
    421,443x = 912,870 × 912,870
  4. Step 4: Simplify right side
    421,443x = 833,331,636,900
  5. Step 5: Solve for x
    x = 833,331,636,900/421,443
  6. Step 6: Final answer
    x = 1,977,329.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.