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Finding the Third Proportional to 510,143,490 and 715,832,451

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Solution

The third proportional to 510,143,490 and 715,832,451 is: 1,004,454,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,143,490 : 715,832,451 = 715,832,451 : x
  2. Step 2: Convert to fraction form
    510,143,490/715,832,451 = 715,832,451/x
  3. Step 3: Cross multiply
    510,143,490x = 715,832,451 × 715,832,451
  4. Step 4: Simplify right side
    510,143,490x = 512,416,097,904,667,392
  5. Step 5: Solve for x
    x = 512,416,097,904,667,392/510,143,490
  6. Step 6: Final answer
    x = 1,004,454,840.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.