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Finding the Third Proportional to 665,147.25 and 1,459,053

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Solution

The third proportional to 665,147.25 and 1,459,053 is: 3,200,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,147.25 : 1,459,053 = 1,459,053 : x
  2. Step 2: Convert to fraction form
    665,147.25/1,459,053 = 1,459,053/x
  3. Step 3: Cross multiply
    665,147.25x = 1,459,053 × 1,459,053
  4. Step 4: Simplify right side
    665,147.25x = 2,128,835,656,809
  5. Step 5: Solve for x
    x = 2,128,835,656,809/665,147.25
  6. Step 6: Final answer
    x = 3,200,547.93

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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.