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Finding the Third Proportional to 529,692,460 and 826,724,086

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Solution

The third proportional to 529,692,460 and 826,724,086 is: 1,290,319,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,692,460 : 826,724,086 = 826,724,086 : x
  2. Step 2: Convert to fraction form
    529,692,460/826,724,086 = 826,724,086/x
  3. Step 3: Cross multiply
    529,692,460x = 826,724,086 × 826,724,086
  4. Step 4: Simplify right side
    529,692,460x = 683,472,714,372,535,424
  5. Step 5: Solve for x
    x = 683,472,714,372,535,424/529,692,460
  6. Step 6: Final answer
    x = 1,290,319,885.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.