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Finding the Third Proportional to 540,556,506 and 1,180,197,232

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Solution

The third proportional to 540,556,506 and 1,180,197,232 is: 2,576,725,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,556,506 : 1,180,197,232 = 1,180,197,232 : x
  2. Step 2: Convert to fraction form
    540,556,506/1,180,197,232 = 1,180,197,232/x
  3. Step 3: Cross multiply
    540,556,506x = 1,180,197,232 × 1,180,197,232
  4. Step 4: Simplify right side
    540,556,506x = 1,392,865,506,420,461,824
  5. Step 5: Solve for x
    x = 1,392,865,506,420,461,824/540,556,506
  6. Step 6: Final answer
    x = 2,576,725,080.47

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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.