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Finding the Third Proportional to 546,280,292 and 1,201,522,598

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Solution

The third proportional to 546,280,292 and 1,201,522,598 is: 2,642,702,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,280,292 : 1,201,522,598 = 1,201,522,598 : x
  2. Step 2: Convert to fraction form
    546,280,292/1,201,522,598 = 1,201,522,598/x
  3. Step 3: Cross multiply
    546,280,292x = 1,201,522,598 × 1,201,522,598
  4. Step 4: Simplify right side
    546,280,292x = 1,443,656,553,504,669,696
  5. Step 5: Solve for x
    x = 1,443,656,553,504,669,696/546,280,292
  6. Step 6: Final answer
    x = 2,642,702,976.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.