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Finding the Third Proportional to 623,928 and 1,004,796

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Solution

The third proportional to 623,928 and 1,004,796 is: 1,618,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,928 : 1,004,796 = 1,004,796 : x
  2. Step 2: Convert to fraction form
    623,928/1,004,796 = 1,004,796/x
  3. Step 3: Cross multiply
    623,928x = 1,004,796 × 1,004,796
  4. Step 4: Simplify right side
    623,928x = 1,009,615,001,616
  5. Step 5: Solve for x
    x = 1,009,615,001,616/623,928
  6. Step 6: Final answer
    x = 1,618,159.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.