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Finding the Third Proportional to 623,858 and 1,004,691

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Solution

The third proportional to 623,858 and 1,004,691 is: 1,618,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,858 : 1,004,691 = 1,004,691 : x
  2. Step 2: Convert to fraction form
    623,858/1,004,691 = 1,004,691/x
  3. Step 3: Cross multiply
    623,858x = 1,004,691 × 1,004,691
  4. Step 4: Simplify right side
    623,858x = 1,009,404,005,481
  5. Step 5: Solve for x
    x = 1,009,404,005,481/623,858
  6. Step 6: Final answer
    x = 1,618,002.82

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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.