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Finding the Third Proportional to 826,484 and 1,277,128

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Solution

The third proportional to 826,484 and 1,277,128 is: 1,973,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,484 : 1,277,128 = 1,277,128 : x
  2. Step 2: Convert to fraction form
    826,484/1,277,128 = 1,277,128/x
  3. Step 3: Cross multiply
    826,484x = 1,277,128 × 1,277,128
  4. Step 4: Simplify right side
    826,484x = 1,631,055,928,384
  5. Step 5: Solve for x
    x = 1,631,055,928,384/826,484
  6. Step 6: Final answer
    x = 1,973,487.60

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