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Finding the Third Proportional to 406,294 and 875,023

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Solution

The third proportional to 406,294 and 875,023 is: 1,884,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,294 : 875,023 = 875,023 : x
  2. Step 2: Convert to fraction form
    406,294/875,023 = 875,023/x
  3. Step 3: Cross multiply
    406,294x = 875,023 × 875,023
  4. Step 4: Simplify right side
    406,294x = 765,665,250,529
  5. Step 5: Solve for x
    x = 765,665,250,529/406,294
  6. Step 6: Final answer
    x = 1,884,510.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.