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Finding the Third Proportional to 849,862.13 and 1,957,194.14

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Solution

The third proportional to 849,862.13 and 1,957,194.14 is: 4,507,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,862.13 : 1,957,194.14 = 1,957,194.14 : x
  2. Step 2: Convert to fraction form
    849,862.13/1,957,194.14 = 1,957,194.14/x
  3. Step 3: Cross multiply
    849,862.13x = 1,957,194.14 × 1,957,194.14
  4. Step 4: Simplify right side
    849,862.13x = 3,830,608,904,096.83
  5. Step 5: Solve for x
    x = 3,830,608,904,096.83/849,862.13
  6. Step 6: Final answer
    x = 4,507,329.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.