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Finding the Third Proportional to 489,352 and 1,078,044

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Solution

The third proportional to 489,352 and 1,078,044 is: 2,374,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,352 : 1,078,044 = 1,078,044 : x
  2. Step 2: Convert to fraction form
    489,352/1,078,044 = 1,078,044/x
  3. Step 3: Cross multiply
    489,352x = 1,078,044 × 1,078,044
  4. Step 4: Simplify right side
    489,352x = 1,162,178,865,936
  5. Step 5: Solve for x
    x = 1,162,178,865,936/489,352
  6. Step 6: Final answer
    x = 2,374,934.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.