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Finding the Third Proportional to 986,752.13 and 2,158,032.38

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Solution

The third proportional to 986,752.13 and 2,158,032.38 is: 4,719,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,752.13 : 2,158,032.38 = 2,158,032.38 : x
  2. Step 2: Convert to fraction form
    986,752.13/2,158,032.38 = 2,158,032.38/x
  3. Step 3: Cross multiply
    986,752.13x = 2,158,032.38 × 2,158,032.38
  4. Step 4: Simplify right side
    986,752.13x = 4,657,103,731,548.14
  5. Step 5: Solve for x
    x = 4,657,103,731,548.14/986,752.13
  6. Step 6: Final answer
    x = 4,719,628.78

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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.