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Finding the Third Proportional to 857,446 and 1,883,047

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Solution

The third proportional to 857,446 and 1,883,047 is: 4,135,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,446 : 1,883,047 = 1,883,047 : x
  2. Step 2: Convert to fraction form
    857,446/1,883,047 = 1,883,047/x
  3. Step 3: Cross multiply
    857,446x = 1,883,047 × 1,883,047
  4. Step 4: Simplify right side
    857,446x = 3,545,866,004,209
  5. Step 5: Solve for x
    x = 3,545,866,004,209/857,446
  6. Step 6: Final answer
    x = 4,135,381.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.