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Finding the Third Proportional to 623,646 and 1,004,373

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Solution

The third proportional to 623,646 and 1,004,373 is: 1,617,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,646 : 1,004,373 = 1,004,373 : x
  2. Step 2: Convert to fraction form
    623,646/1,004,373 = 1,004,373/x
  3. Step 3: Cross multiply
    623,646x = 1,004,373 × 1,004,373
  4. Step 4: Simplify right side
    623,646x = 1,008,765,123,129
  5. Step 5: Solve for x
    x = 1,008,765,123,129/623,646
  6. Step 6: Final answer
    x = 1,617,528.41

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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.