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Finding the Third Proportional to 946,764 and 2,037,870

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Solution

The third proportional to 946,764 and 2,037,870 is: 4,386,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,764 : 2,037,870 = 2,037,870 : x
  2. Step 2: Convert to fraction form
    946,764/2,037,870 = 2,037,870/x
  3. Step 3: Cross multiply
    946,764x = 2,037,870 × 2,037,870
  4. Step 4: Simplify right side
    946,764x = 4,152,914,136,900
  5. Step 5: Solve for x
    x = 4,152,914,136,900/946,764
  6. Step 6: Final answer
    x = 4,386,430.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.