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Finding the Third Proportional to 488,468 and 1,029,416

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Solution

The third proportional to 488,468 and 1,029,416 is: 2,169,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,468 : 1,029,416 = 1,029,416 : x
  2. Step 2: Convert to fraction form
    488,468/1,029,416 = 1,029,416/x
  3. Step 3: Cross multiply
    488,468x = 1,029,416 × 1,029,416
  4. Step 4: Simplify right side
    488,468x = 1,059,697,301,056
  5. Step 5: Solve for x
    x = 1,059,697,301,056/488,468
  6. Step 6: Final answer
    x = 2,169,430.34

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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.