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Finding the Third Proportional to 540,556,498 and 1,180,197,217

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Solution

The third proportional to 540,556,498 and 1,180,197,217 is: 2,576,725,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,556,498 : 1,180,197,217 = 1,180,197,217 : x
  2. Step 2: Convert to fraction form
    540,556,498/1,180,197,217 = 1,180,197,217/x
  3. Step 3: Cross multiply
    540,556,498x = 1,180,197,217 × 1,180,197,217
  4. Step 4: Simplify right side
    540,556,498x = 1,392,865,471,014,545,152
  5. Step 5: Solve for x
    x = 1,392,865,471,014,545,152/540,556,498
  6. Step 6: Final answer
    x = 2,576,725,053.10

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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.