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Finding the Third Proportional to 742,888,542 and 1,116,204,813

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Solution

The third proportional to 742,888,542 and 1,116,204,813 is: 1,677,119,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,888,542 : 1,116,204,813 = 1,116,204,813 : x
  2. Step 2: Convert to fraction form
    742,888,542/1,116,204,813 = 1,116,204,813/x
  3. Step 3: Cross multiply
    742,888,542x = 1,116,204,813 × 1,116,204,813
  4. Step 4: Simplify right side
    742,888,542x = 1,245,913,184,564,365,056
  5. Step 5: Solve for x
    x = 1,245,913,184,564,365,056/742,888,542
  6. Step 6: Final answer
    x = 1,677,119,936.74

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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.