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Finding the Third Proportional to 1,019,576,186 and 1,574,403,923

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Solution

The third proportional to 1,019,576,186 and 1,574,403,923 is: 2,431,154,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,576,186 : 1,574,403,923 = 1,574,403,923 : x
  2. Step 2: Convert to fraction form
    1,019,576,186/1,574,403,923 = 1,574,403,923/x
  3. Step 3: Cross multiply
    1,019,576,186x = 1,574,403,923 × 1,574,403,923
  4. Step 4: Simplify right side
    1,019,576,186x = 2,478,747,712,757,789,696
  5. Step 5: Solve for x
    x = 2,478,747,712,757,789,696/1,019,576,186
  6. Step 6: Final answer
    x = 2,431,154,970.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.