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Finding the Third Proportional to 698,481 and 1,496,569.50

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Solution

The third proportional to 698,481 and 1,496,569.50 is: 3,206,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,481 : 1,496,569.50 = 1,496,569.50 : x
  2. Step 2: Convert to fraction form
    698,481/1,496,569.50 = 1,496,569.50/x
  3. Step 3: Cross multiply
    698,481x = 1,496,569.50 × 1,496,569.50
  4. Step 4: Simplify right side
    698,481x = 2,239,720,268,330.25
  5. Step 5: Solve for x
    x = 2,239,720,268,330.25/698,481
  6. Step 6: Final answer
    x = 3,206,558.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.