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Finding the Third Proportional to 1,029,202,276 and 1,590,288,156

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Solution

The third proportional to 1,029,202,276 and 1,590,288,156 is: 2,457,258,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,202,276 : 1,590,288,156 = 1,590,288,156 : x
  2. Step 2: Convert to fraction form
    1,029,202,276/1,590,288,156 = 1,590,288,156/x
  3. Step 3: Cross multiply
    1,029,202,276x = 1,590,288,156 × 1,590,288,156
  4. Step 4: Simplify right side
    1,029,202,276x = 2,529,016,419,113,880,576
  5. Step 5: Solve for x
    x = 2,529,016,419,113,880,576/1,029,202,276
  6. Step 6: Final answer
    x = 2,457,258,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.