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Finding the Third Proportional to 478,611,456 and 1,041,080,592

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Solution

The third proportional to 478,611,456 and 1,041,080,592 is: 2,264,569,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,611,456 : 1,041,080,592 = 1,041,080,592 : x
  2. Step 2: Convert to fraction form
    478,611,456/1,041,080,592 = 1,041,080,592/x
  3. Step 3: Cross multiply
    478,611,456x = 1,041,080,592 × 1,041,080,592
  4. Step 4: Simplify right side
    478,611,456x = 1,083,848,799,039,070,464
  5. Step 5: Solve for x
    x = 1,083,848,799,039,070,464/478,611,456
  6. Step 6: Final answer
    x = 2,264,569,277.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.