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Finding the Third Proportional to 4,728,582 and 7,488,738

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Solution

The third proportional to 4,728,582 and 7,488,738 is: 11,860,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728,582 : 7,488,738 = 7,488,738 : x
  2. Step 2: Convert to fraction form
    4,728,582/7,488,738 = 7,488,738/x
  3. Step 3: Cross multiply
    4,728,582x = 7,488,738 × 7,488,738
  4. Step 4: Simplify right side
    4,728,582x = 56,081,196,832,644
  5. Step 5: Solve for x
    x = 56,081,196,832,644/4,728,582
  6. Step 6: Final answer
    x = 11,860,045.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.