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Finding the Third Proportional to 728,047,098 and 1,030,164,327

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Solution

The third proportional to 728,047,098 and 1,030,164,327 is: 1,457,650,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,047,098 : 1,030,164,327 = 1,030,164,327 : x
  2. Step 2: Convert to fraction form
    728,047,098/1,030,164,327 = 1,030,164,327/x
  3. Step 3: Cross multiply
    728,047,098x = 1,030,164,327 × 1,030,164,327
  4. Step 4: Simplify right side
    728,047,098x = 1,061,238,540,623,362,944
  5. Step 5: Solve for x
    x = 1,061,238,540,623,362,944/728,047,098
  6. Step 6: Final answer
    x = 1,457,650,945.30

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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.