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Finding the Third Proportional to 527,181,234 and 1,097,996,520

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Solution

The third proportional to 527,181,234 and 1,097,996,520 is: 2,286,872,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,181,234 : 1,097,996,520 = 1,097,996,520 : x
  2. Step 2: Convert to fraction form
    527,181,234/1,097,996,520 = 1,097,996,520/x
  3. Step 3: Cross multiply
    527,181,234x = 1,097,996,520 × 1,097,996,520
  4. Step 4: Simplify right side
    527,181,234x = 1,205,596,357,932,110,336
  5. Step 5: Solve for x
    x = 1,205,596,357,932,110,336/527,181,234
  6. Step 6: Final answer
    x = 2,286,872,673.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.