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Finding the Third Proportional to 692,269,060 and 1,036,247,046

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Solution

The third proportional to 692,269,060 and 1,036,247,046 is: 1,551,142,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,269,060 : 1,036,247,046 = 1,036,247,046 : x
  2. Step 2: Convert to fraction form
    692,269,060/1,036,247,046 = 1,036,247,046/x
  3. Step 3: Cross multiply
    692,269,060x = 1,036,247,046 × 1,036,247,046
  4. Step 4: Simplify right side
    692,269,060x = 1,073,807,940,343,726,080
  5. Step 5: Solve for x
    x = 1,073,807,940,343,726,080/692,269,060
  6. Step 6: Final answer
    x = 1,551,142,471.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.