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Finding the Third Proportional to 728,145 and 1,596,258

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Solution

The third proportional to 728,145 and 1,596,258 is: 3,499,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,145 : 1,596,258 = 1,596,258 : x
  2. Step 2: Convert to fraction form
    728,145/1,596,258 = 1,596,258/x
  3. Step 3: Cross multiply
    728,145x = 1,596,258 × 1,596,258
  4. Step 4: Simplify right side
    728,145x = 2,548,039,602,564
  5. Step 5: Solve for x
    x = 2,548,039,602,564/728,145
  6. Step 6: Final answer
    x = 3,499,357.41

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