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Finding the Third Proportional to 466,678,548 and 1,005,707,403

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Solution

The third proportional to 466,678,548 and 1,005,707,403 is: 2,167,332,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,678,548 : 1,005,707,403 = 1,005,707,403 : x
  2. Step 2: Convert to fraction form
    466,678,548/1,005,707,403 = 1,005,707,403/x
  3. Step 3: Cross multiply
    466,678,548x = 1,005,707,403 × 1,005,707,403
  4. Step 4: Simplify right side
    466,678,548x = 1,011,447,380,449,004,416
  5. Step 5: Solve for x
    x = 1,011,447,380,449,004,416/466,678,548
  6. Step 6: Final answer
    x = 2,167,332,063.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.