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Finding the Third Proportional to 468,285,414 and 1,041,272,052

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Solution

The third proportional to 468,285,414 and 1,041,272,052 is: 2,315,356,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,285,414 : 1,041,272,052 = 1,041,272,052 : x
  2. Step 2: Convert to fraction form
    468,285,414/1,041,272,052 = 1,041,272,052/x
  3. Step 3: Cross multiply
    468,285,414x = 1,041,272,052 × 1,041,272,052
  4. Step 4: Simplify right side
    468,285,414x = 1,084,247,486,276,290,688
  5. Step 5: Solve for x
    x = 1,084,247,486,276,290,688/468,285,414
  6. Step 6: Final answer
    x = 2,315,356,092.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.