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Finding the Third Proportional to 488,290 and 1,029,076

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Solution

The third proportional to 488,290 and 1,029,076 is: 2,168,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,290 : 1,029,076 = 1,029,076 : x
  2. Step 2: Convert to fraction form
    488,290/1,029,076 = 1,029,076/x
  3. Step 3: Cross multiply
    488,290x = 1,029,076 × 1,029,076
  4. Step 4: Simplify right side
    488,290x = 1,058,997,413,776
  5. Step 5: Solve for x
    x = 1,058,997,413,776/488,290
  6. Step 6: Final answer
    x = 2,168,787.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.