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Finding the Third Proportional to 1,019,576,253 and 1,574,404,025

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Solution

The third proportional to 1,019,576,253 and 1,574,404,025 is: 2,431,155,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,576,253 : 1,574,404,025 = 1,574,404,025 : x
  2. Step 2: Convert to fraction form
    1,019,576,253/1,574,404,025 = 1,574,404,025/x
  3. Step 3: Cross multiply
    1,019,576,253x = 1,574,404,025 × 1,574,404,025
  4. Step 4: Simplify right side
    1,019,576,253x = 2,478,748,033,936,200,704
  5. Step 5: Solve for x
    x = 2,478,748,033,936,200,704/1,019,576,253
  6. Step 6: Final answer
    x = 2,431,155,126.11

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