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Finding the Third Proportional to 493,959,672 and 1,078,436,340

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Solution

The third proportional to 493,959,672 and 1,078,436,340 is: 2,354,493,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,959,672 : 1,078,436,340 = 1,078,436,340 : x
  2. Step 2: Convert to fraction form
    493,959,672/1,078,436,340 = 1,078,436,340/x
  3. Step 3: Cross multiply
    493,959,672x = 1,078,436,340 × 1,078,436,340
  4. Step 4: Simplify right side
    493,959,672x = 1,163,024,939,432,595,712
  5. Step 5: Solve for x
    x = 1,163,024,939,432,595,712/493,959,672
  6. Step 6: Final answer
    x = 2,354,493,707.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.