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Finding the Third Proportional to 761,682,548 and 1,052,472,248

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Solution

The third proportional to 761,682,548 and 1,052,472,248 is: 1,454,277,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,682,548 : 1,052,472,248 = 1,052,472,248 : x
  2. Step 2: Convert to fraction form
    761,682,548/1,052,472,248 = 1,052,472,248/x
  3. Step 3: Cross multiply
    761,682,548x = 1,052,472,248 × 1,052,472,248
  4. Step 4: Simplify right side
    761,682,548x = 1,107,697,832,810,173,440
  5. Step 5: Solve for x
    x = 1,107,697,832,810,173,440/761,682,548
  6. Step 6: Final answer
    x = 1,454,277,553.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.