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Finding the Third Proportional to 529,692,458 and 826,724,083

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Solution

The third proportional to 529,692,458 and 826,724,083 is: 1,290,319,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,692,458 : 826,724,083 = 826,724,083 : x
  2. Step 2: Convert to fraction form
    529,692,458/826,724,083 = 826,724,083/x
  3. Step 3: Cross multiply
    529,692,458x = 826,724,083 × 826,724,083
  4. Step 4: Simplify right side
    529,692,458x = 683,472,709,412,190,848
  5. Step 5: Solve for x
    x = 683,472,709,412,190,848/529,692,458
  6. Step 6: Final answer
    x = 1,290,319,881.07

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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.