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Finding the Third Proportional to 1,015,576,726 and 1,403,296,324

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Solution

The third proportional to 1,015,576,726 and 1,403,296,324 is: 1,939,036,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,576,726 : 1,403,296,324 = 1,403,296,324 : x
  2. Step 2: Convert to fraction form
    1,015,576,726/1,403,296,324 = 1,403,296,324/x
  3. Step 3: Cross multiply
    1,015,576,726x = 1,403,296,324 × 1,403,296,324
  4. Step 4: Simplify right side
    1,015,576,726x = 1,969,240,572,951,912,960
  5. Step 5: Solve for x
    x = 1,969,240,572,951,912,960/1,015,576,726
  6. Step 6: Final answer
    x = 1,939,036,729.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.