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Finding the Third Proportional to 1,055,420 and 1,635,258

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Solution

The third proportional to 1,055,420 and 1,635,258 is: 2,533,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,420 : 1,635,258 = 1,635,258 : x
  2. Step 2: Convert to fraction form
    1,055,420/1,635,258 = 1,635,258/x
  3. Step 3: Cross multiply
    1,055,420x = 1,635,258 × 1,635,258
  4. Step 4: Simplify right side
    1,055,420x = 2,674,068,726,564
  5. Step 5: Solve for x
    x = 2,674,068,726,564/1,055,420
  6. Step 6: Final answer
    x = 2,533,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.