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Finding the Third Proportional to 671,394 and 1,024,623

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Solution

The third proportional to 671,394 and 1,024,623 is: 1,563,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,394 : 1,024,623 = 1,024,623 : x
  2. Step 2: Convert to fraction form
    671,394/1,024,623 = 1,024,623/x
  3. Step 3: Cross multiply
    671,394x = 1,024,623 × 1,024,623
  4. Step 4: Simplify right side
    671,394x = 1,049,852,292,129
  5. Step 5: Solve for x
    x = 1,049,852,292,129/671,394
  6. Step 6: Final answer
    x = 1,563,690.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.