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Finding the Third Proportional to 1,034,714,781 and 1,562,814,825

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Solution

The third proportional to 1,034,714,781 and 1,562,814,825 is: 2,360,447,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,714,781 : 1,562,814,825 = 1,562,814,825 : x
  2. Step 2: Convert to fraction form
    1,034,714,781/1,562,814,825 = 1,562,814,825/x
  3. Step 3: Cross multiply
    1,034,714,781x = 1,562,814,825 × 1,562,814,825
  4. Step 4: Simplify right side
    1,034,714,781x = 2,442,390,177,239,780,864
  5. Step 5: Solve for x
    x = 2,442,390,177,239,780,864/1,034,714,781
  6. Step 6: Final answer
    x = 2,360,447,750.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.