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Finding the Third Proportional to 849,750 and 1,849,356

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Solution

The third proportional to 849,750 and 1,849,356 is: 4,024,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,750 : 1,849,356 = 1,849,356 : x
  2. Step 2: Convert to fraction form
    849,750/1,849,356 = 1,849,356/x
  3. Step 3: Cross multiply
    849,750x = 1,849,356 × 1,849,356
  4. Step 4: Simplify right side
    849,750x = 3,420,117,614,736
  5. Step 5: Solve for x
    x = 3,420,117,614,736/849,750
  6. Step 6: Final answer
    x = 4,024,851.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.