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Finding the Third Proportional to 1,020,314,641 and 1,530,206,230

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Solution

The third proportional to 1,020,314,641 and 1,530,206,230 is: 2,294,910,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,314,641 : 1,530,206,230 = 1,530,206,230 : x
  2. Step 2: Convert to fraction form
    1,020,314,641/1,530,206,230 = 1,530,206,230/x
  3. Step 3: Cross multiply
    1,020,314,641x = 1,530,206,230 × 1,530,206,230
  4. Step 4: Simplify right side
    1,020,314,641x = 2,341,531,106,330,812,928
  5. Step 5: Solve for x
    x = 2,341,531,106,330,812,928/1,020,314,641
  6. Step 6: Final answer
    x = 2,294,910,816.96

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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.