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Finding the Third Proportional to 728,047,096 and 1,030,164,324

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Solution

The third proportional to 728,047,096 and 1,030,164,324 is: 1,457,650,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,047,096 : 1,030,164,324 = 1,030,164,324 : x
  2. Step 2: Convert to fraction form
    728,047,096/1,030,164,324 = 1,030,164,324/x
  3. Step 3: Cross multiply
    728,047,096x = 1,030,164,324 × 1,030,164,324
  4. Step 4: Simplify right side
    728,047,096x = 1,061,238,534,442,376,960
  5. Step 5: Solve for x
    x = 1,061,238,534,442,376,960/728,047,096
  6. Step 6: Final answer
    x = 1,457,650,940.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.