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Finding the Third Proportional to 647,029 and 1,360,984

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Solution

The third proportional to 647,029 and 1,360,984 is: 2,862,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,029 : 1,360,984 = 1,360,984 : x
  2. Step 2: Convert to fraction form
    647,029/1,360,984 = 1,360,984/x
  3. Step 3: Cross multiply
    647,029x = 1,360,984 × 1,360,984
  4. Step 4: Simplify right side
    647,029x = 1,852,277,448,256
  5. Step 5: Solve for x
    x = 1,852,277,448,256/647,029
  6. Step 6: Final answer
    x = 2,862,742.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.