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Finding the Third Proportional to 714,102,956 and 1,102,990,882

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Solution

The third proportional to 714,102,956 and 1,102,990,882 is: 1,703,660,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,102,956 : 1,102,990,882 = 1,102,990,882 : x
  2. Step 2: Convert to fraction form
    714,102,956/1,102,990,882 = 1,102,990,882/x
  3. Step 3: Cross multiply
    714,102,956x = 1,102,990,882 × 1,102,990,882
  4. Step 4: Simplify right side
    714,102,956x = 1,216,588,885,775,138,048
  5. Step 5: Solve for x
    x = 1,216,588,885,775,138,048/714,102,956
  6. Step 6: Final answer
    x = 1,703,660,341.35

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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.