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Finding the Third Proportional to 622,902 and 975,872

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Solution

The third proportional to 622,902 and 975,872 is: 1,528,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,902 : 975,872 = 975,872 : x
  2. Step 2: Convert to fraction form
    622,902/975,872 = 975,872/x
  3. Step 3: Cross multiply
    622,902x = 975,872 × 975,872
  4. Step 4: Simplify right side
    622,902x = 952,326,160,384
  5. Step 5: Solve for x
    x = 952,326,160,384/622,902
  6. Step 6: Final answer
    x = 1,528,853.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.