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Finding the Third Proportional to 920,958,410 and 1,417,008,171

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Solution

The third proportional to 920,958,410 and 1,417,008,171 is: 2,180,241,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,958,410 : 1,417,008,171 = 1,417,008,171 : x
  2. Step 2: Convert to fraction form
    920,958,410/1,417,008,171 = 1,417,008,171/x
  3. Step 3: Cross multiply
    920,958,410x = 1,417,008,171 × 1,417,008,171
  4. Step 4: Simplify right side
    920,958,410x = 2,007,912,156,680,765,184
  5. Step 5: Solve for x
    x = 2,007,912,156,680,765,184/920,958,410
  6. Step 6: Final answer
    x = 2,180,241,946.74

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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.