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Finding the Third Proportional to 484,119,712 and 1,048,897,856

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Solution

The third proportional to 484,119,712 and 1,048,897,856 is: 2,272,550,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,119,712 : 1,048,897,856 = 1,048,897,856 : x
  2. Step 2: Convert to fraction form
    484,119,712/1,048,897,856 = 1,048,897,856/x
  3. Step 3: Cross multiply
    484,119,712x = 1,048,897,856 × 1,048,897,856
  4. Step 4: Simplify right side
    484,119,712x = 1,100,186,712,321,396,736
  5. Step 5: Solve for x
    x = 1,100,186,712,321,396,736/484,119,712
  6. Step 6: Final answer
    x = 2,272,550,951.86

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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.