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Finding the Third Proportional to 687,920,236 and 1,051,887,584

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Solution

The third proportional to 687,920,236 and 1,051,887,584 is: 1,608,424,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,920,236 : 1,051,887,584 = 1,051,887,584 : x
  2. Step 2: Convert to fraction form
    687,920,236/1,051,887,584 = 1,051,887,584/x
  3. Step 3: Cross multiply
    687,920,236x = 1,051,887,584 × 1,051,887,584
  4. Step 4: Simplify right side
    687,920,236x = 1,106,467,489,373,357,056
  5. Step 5: Solve for x
    x = 1,106,467,489,373,357,056/687,920,236
  6. Step 6: Final answer
    x = 1,608,424,104.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.