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Finding the Third Proportional to 1,090,139,218 and 1,634,808,444

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Solution

The third proportional to 1,090,139,218 and 1,634,808,444 is: 2,451,612,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,139,218 : 1,634,808,444 = 1,634,808,444 : x
  2. Step 2: Convert to fraction form
    1,090,139,218/1,634,808,444 = 1,634,808,444/x
  3. Step 3: Cross multiply
    1,090,139,218x = 1,634,808,444 × 1,634,808,444
  4. Step 4: Simplify right side
    1,090,139,218x = 2,672,598,648,573,701,120
  5. Step 5: Solve for x
    x = 2,672,598,648,573,701,120/1,090,139,218
  6. Step 6: Final answer
    x = 2,451,612,238.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.