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Finding the Third Proportional to 761,569.50 and 1,620,942

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Solution

The third proportional to 761,569.50 and 1,620,942 is: 3,450,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,569.50 : 1,620,942 = 1,620,942 : x
  2. Step 2: Convert to fraction form
    761,569.50/1,620,942 = 1,620,942/x
  3. Step 3: Cross multiply
    761,569.50x = 1,620,942 × 1,620,942
  4. Step 4: Simplify right side
    761,569.50x = 2,627,452,967,364
  5. Step 5: Solve for x
    x = 2,627,452,967,364/761,569.50
  6. Step 6: Final answer
    x = 3,450,050.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.