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Finding the Third Proportional to 1,034,714,775 and 1,562,814,816

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Solution

The third proportional to 1,034,714,775 and 1,562,814,816 is: 2,360,447,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,714,775 : 1,562,814,816 = 1,562,814,816 : x
  2. Step 2: Convert to fraction form
    1,034,714,775/1,562,814,816 = 1,562,814,816/x
  3. Step 3: Cross multiply
    1,034,714,775x = 1,562,814,816 × 1,562,814,816
  4. Step 4: Simplify right side
    1,034,714,775x = 2,442,390,149,109,113,856
  5. Step 5: Solve for x
    x = 2,442,390,149,109,113,856/1,034,714,775
  6. Step 6: Final answer
    x = 2,360,447,737.02

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