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Finding the Third Proportional to 1,002,563,176 and 1,532,660,796

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Solution

The third proportional to 1,002,563,176 and 1,532,660,796 is: 2,343,043,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,563,176 : 1,532,660,796 = 1,532,660,796 : x
  2. Step 2: Convert to fraction form
    1,002,563,176/1,532,660,796 = 1,532,660,796/x
  3. Step 3: Cross multiply
    1,002,563,176x = 1,532,660,796 × 1,532,660,796
  4. Step 4: Simplify right side
    1,002,563,176x = 2,349,049,115,595,353,600
  5. Step 5: Solve for x
    x = 2,349,049,115,595,353,600/1,002,563,176
  6. Step 6: Final answer
    x = 2,343,043,482.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.