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Finding the Third Proportional to 851,796 and 1,880,820

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Solution

The third proportional to 851,796 and 1,880,820 is: 4,152,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,796 : 1,880,820 = 1,880,820 : x
  2. Step 2: Convert to fraction form
    851,796/1,880,820 = 1,880,820/x
  3. Step 3: Cross multiply
    851,796x = 1,880,820 × 1,880,820
  4. Step 4: Simplify right side
    851,796x = 3,537,483,872,400
  5. Step 5: Solve for x
    x = 3,537,483,872,400/851,796
  6. Step 6: Final answer
    x = 4,152,970.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.