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Finding the Third Proportional to 849,114 and 1,855,692

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Solution

The third proportional to 849,114 and 1,855,692 is: 4,055,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,114 : 1,855,692 = 1,855,692 : x
  2. Step 2: Convert to fraction form
    849,114/1,855,692 = 1,855,692/x
  3. Step 3: Cross multiply
    849,114x = 1,855,692 × 1,855,692
  4. Step 4: Simplify right side
    849,114x = 3,443,592,798,864
  5. Step 5: Solve for x
    x = 3,443,592,798,864/849,114
  6. Step 6: Final answer
    x = 4,055,512.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.