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Finding the Third Proportional to 616,922 and 1,428,038

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Solution

The third proportional to 616,922 and 1,428,038 is: 3,305,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,922 : 1,428,038 = 1,428,038 : x
  2. Step 2: Convert to fraction form
    616,922/1,428,038 = 1,428,038/x
  3. Step 3: Cross multiply
    616,922x = 1,428,038 × 1,428,038
  4. Step 4: Simplify right side
    616,922x = 2,039,292,529,444
  5. Step 5: Solve for x
    x = 2,039,292,529,444/616,922
  6. Step 6: Final answer
    x = 3,305,592.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.