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Finding the Third Proportional to 689,093,348 and 1,059,185,964

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Solution

The third proportional to 689,093,348 and 1,059,185,964 is: 1,628,044,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,093,348 : 1,059,185,964 = 1,059,185,964 : x
  2. Step 2: Convert to fraction form
    689,093,348/1,059,185,964 = 1,059,185,964/x
  3. Step 3: Cross multiply
    689,093,348x = 1,059,185,964 × 1,059,185,964
  4. Step 4: Simplify right side
    689,093,348x = 1,121,874,906,334,609,280
  5. Step 5: Solve for x
    x = 1,121,874,906,334,609,280/689,093,348
  6. Step 6: Final answer
    x = 1,628,044,893.47

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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.