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Finding the Third Proportional to 594,984 and 906,421

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Solution

The third proportional to 594,984 and 906,421 is: 1,380,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,984 : 906,421 = 906,421 : x
  2. Step 2: Convert to fraction form
    594,984/906,421 = 906,421/x
  3. Step 3: Cross multiply
    594,984x = 906,421 × 906,421
  4. Step 4: Simplify right side
    594,984x = 821,599,029,241
  5. Step 5: Solve for x
    x = 821,599,029,241/594,984
  6. Step 6: Final answer
    x = 1,380,875.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.