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Finding the Third Proportional to 546,470,306 and 1,180,193,284

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Solution

The third proportional to 546,470,306 and 1,180,193,284 is: 2,548,823,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,470,306 : 1,180,193,284 = 1,180,193,284 : x
  2. Step 2: Convert to fraction form
    546,470,306/1,180,193,284 = 1,180,193,284/x
  3. Step 3: Cross multiply
    546,470,306x = 1,180,193,284 × 1,180,193,284
  4. Step 4: Simplify right side
    546,470,306x = 1,392,856,187,598,704,640
  5. Step 5: Solve for x
    x = 1,392,856,187,598,704,640/546,470,306
  6. Step 6: Final answer
    x = 2,548,823,188.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.