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Finding the Third Proportional to 1,353,171.13 and 2,802,258.91

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Solution

The third proportional to 1,353,171.13 and 2,802,258.91 is: 5,803,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,171.13 : 2,802,258.91 = 2,802,258.91 : x
  2. Step 2: Convert to fraction form
    1,353,171.13/2,802,258.91 = 2,802,258.91/x
  3. Step 3: Cross multiply
    1,353,171.13x = 2,802,258.91 × 2,802,258.91
  4. Step 4: Simplify right side
    1,353,171.13x = 7,852,655,021,442.74
  5. Step 5: Solve for x
    x = 7,852,655,021,442.74/1,353,171.13
  6. Step 6: Final answer
    x = 5,803,149.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.