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Finding the Third Proportional to 965,554 and 1,418,772

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Solution

The third proportional to 965,554 and 1,418,772 is: 2,084,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,554 : 1,418,772 = 1,418,772 : x
  2. Step 2: Convert to fraction form
    965,554/1,418,772 = 1,418,772/x
  3. Step 3: Cross multiply
    965,554x = 1,418,772 × 1,418,772
  4. Step 4: Simplify right side
    965,554x = 2,012,913,987,984
  5. Step 5: Solve for x
    x = 2,012,913,987,984/965,554
  6. Step 6: Final answer
    x = 2,084,724.40

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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.