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Finding the Third Proportional to 966,476.25 and 1,420,128

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Solution

The third proportional to 966,476.25 and 1,420,128 is: 2,086,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,476.25 : 1,420,128 = 1,420,128 : x
  2. Step 2: Convert to fraction form
    966,476.25/1,420,128 = 1,420,128/x
  3. Step 3: Cross multiply
    966,476.25x = 1,420,128 × 1,420,128
  4. Step 4: Simplify right side
    966,476.25x = 2,016,763,536,384
  5. Step 5: Solve for x
    x = 2,016,763,536,384/966,476.25
  6. Step 6: Final answer
    x = 2,086,718.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.