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Finding the Third Proportional to 775,827,424 and 1,162,606,258

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Solution

The third proportional to 775,827,424 and 1,162,606,258 is: 1,742,208,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,827,424 : 1,162,606,258 = 1,162,606,258 : x
  2. Step 2: Convert to fraction form
    775,827,424/1,162,606,258 = 1,162,606,258/x
  3. Step 3: Cross multiply
    775,827,424x = 1,162,606,258 × 1,162,606,258
  4. Step 4: Simplify right side
    775,827,424x = 1,351,653,311,140,762,624
  5. Step 5: Solve for x
    x = 1,351,653,311,140,762,624/775,827,424
  6. Step 6: Final answer
    x = 1,742,208,730.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.