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Finding the Third Proportional to 4,808,460 and 7,488,416

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Solution

The third proportional to 4,808,460 and 7,488,416 is: 11,662,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808,460 : 7,488,416 = 7,488,416 : x
  2. Step 2: Convert to fraction form
    4,808,460/7,488,416 = 7,488,416/x
  3. Step 3: Cross multiply
    4,808,460x = 7,488,416 × 7,488,416
  4. Step 4: Simplify right side
    4,808,460x = 56,076,374,189,056
  5. Step 5: Solve for x
    x = 56,076,374,189,056/4,808,460
  6. Step 6: Final answer
    x = 11,662,023.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.