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Finding the Third Proportional to 749,970 and 1,617,804

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Solution

The third proportional to 749,970 and 1,617,804 is: 3,489,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,970 : 1,617,804 = 1,617,804 : x
  2. Step 2: Convert to fraction form
    749,970/1,617,804 = 1,617,804/x
  3. Step 3: Cross multiply
    749,970x = 1,617,804 × 1,617,804
  4. Step 4: Simplify right side
    749,970x = 2,617,289,782,416
  5. Step 5: Solve for x
    x = 2,617,289,782,416/749,970
  6. Step 6: Final answer
    x = 3,489,859.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.