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Finding the Third Proportional to 819,723,540 and 1,259,185,194

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Solution

The third proportional to 819,723,540 and 1,259,185,194 is: 1,934,246,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,723,540 : 1,259,185,194 = 1,259,185,194 : x
  2. Step 2: Convert to fraction form
    819,723,540/1,259,185,194 = 1,259,185,194/x
  3. Step 3: Cross multiply
    819,723,540x = 1,259,185,194 × 1,259,185,194
  4. Step 4: Simplify right side
    819,723,540x = 1,585,547,352,788,817,664
  5. Step 5: Solve for x
    x = 1,585,547,352,788,817,664/819,723,540
  6. Step 6: Final answer
    x = 1,934,246,456.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.