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Finding the Third Proportional to 489,917,802 and 725,692,932

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Solution

The third proportional to 489,917,802 and 725,692,932 is: 1,074,935,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,917,802 : 725,692,932 = 725,692,932 : x
  2. Step 2: Convert to fraction form
    489,917,802/725,692,932 = 725,692,932/x
  3. Step 3: Cross multiply
    489,917,802x = 725,692,932 × 725,692,932
  4. Step 4: Simplify right side
    489,917,802x = 526,630,231,554,756,608
  5. Step 5: Solve for x
    x = 526,630,231,554,756,608/489,917,802
  6. Step 6: Final answer
    x = 1,074,935,896.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.