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Finding the Third Proportional to 665,642 and 1,457,995.50

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Solution

The third proportional to 665,642 and 1,457,995.50 is: 3,193,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,642 : 1,457,995.50 = 1,457,995.50 : x
  2. Step 2: Convert to fraction form
    665,642/1,457,995.50 = 1,457,995.50/x
  3. Step 3: Cross multiply
    665,642x = 1,457,995.50 × 1,457,995.50
  4. Step 4: Simplify right side
    665,642x = 2,125,750,878,020.25
  5. Step 5: Solve for x
    x = 2,125,750,878,020.25/665,642
  6. Step 6: Final answer
    x = 3,193,534.78

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Why These Related Problems?

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