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Finding the Third Proportional to 626,769 and 968,904

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Solution

The third proportional to 626,769 and 968,904 is: 1,497,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,769 : 968,904 = 968,904 : x
  2. Step 2: Convert to fraction form
    626,769/968,904 = 968,904/x
  3. Step 3: Cross multiply
    626,769x = 968,904 × 968,904
  4. Step 4: Simplify right side
    626,769x = 938,774,961,216
  5. Step 5: Solve for x
    x = 938,774,961,216/626,769
  6. Step 6: Final answer
    x = 1,497,800.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.