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Finding the Third Proportional to 326,513,214 and 710,419,842

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Solution

The third proportional to 326,513,214 and 710,419,842 is: 1,545,714,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,513,214 : 710,419,842 = 710,419,842 : x
  2. Step 2: Convert to fraction form
    326,513,214/710,419,842 = 710,419,842/x
  3. Step 3: Cross multiply
    326,513,214x = 710,419,842 × 710,419,842
  4. Step 4: Simplify right side
    326,513,214x = 504,696,351,907,304,960
  5. Step 5: Solve for x
    x = 504,696,351,907,304,960/326,513,214
  6. Step 6: Final answer
    x = 1,545,714,936.69

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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.