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Finding the Third Proportional to 496,630,596 and 1,053,774,021

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Solution

The third proportional to 496,630,596 and 1,053,774,021 is: 2,235,946,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,630,596 : 1,053,774,021 = 1,053,774,021 : x
  2. Step 2: Convert to fraction form
    496,630,596/1,053,774,021 = 1,053,774,021/x
  3. Step 3: Cross multiply
    496,630,596x = 1,053,774,021 × 1,053,774,021
  4. Step 4: Simplify right side
    496,630,596x = 1,110,439,687,334,508,416
  5. Step 5: Solve for x
    x = 1,110,439,687,334,508,416/496,630,596
  6. Step 6: Final answer
    x = 2,235,946,992.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.