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Finding the Third Proportional to 546,475,456 and 799,217,892

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Solution

The third proportional to 546,475,456 and 799,217,892 is: 1,168,852,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,456 : 799,217,892 = 799,217,892 : x
  2. Step 2: Convert to fraction form
    546,475,456/799,217,892 = 799,217,892/x
  3. Step 3: Cross multiply
    546,475,456x = 799,217,892 × 799,217,892
  4. Step 4: Simplify right side
    546,475,456x = 638,749,238,892,923,648
  5. Step 5: Solve for x
    x = 638,749,238,892,923,648/546,475,456
  6. Step 6: Final answer
    x = 1,168,852,565.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.