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Finding the Third Proportional to 321,930,234 and 697,342,365

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Solution

The third proportional to 321,930,234 and 697,342,365 is: 1,510,533,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,930,234 : 697,342,365 = 697,342,365 : x
  2. Step 2: Convert to fraction form
    321,930,234/697,342,365 = 697,342,365/x
  3. Step 3: Cross multiply
    321,930,234x = 697,342,365 × 697,342,365
  4. Step 4: Simplify right side
    321,930,234x = 486,286,374,023,793,216
  5. Step 5: Solve for x
    x = 486,286,374,023,793,216/321,930,234
  6. Step 6: Final answer
    x = 1,510,533,409.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.