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Finding the Third Proportional to 761,572 and 1,620,948

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Solution

The third proportional to 761,572 and 1,620,948 is: 3,450,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,572 : 1,620,948 = 1,620,948 : x
  2. Step 2: Convert to fraction form
    761,572/1,620,948 = 1,620,948/x
  3. Step 3: Cross multiply
    761,572x = 1,620,948 × 1,620,948
  4. Step 4: Simplify right side
    761,572x = 2,627,472,418,704
  5. Step 5: Solve for x
    x = 2,627,472,418,704/761,572
  6. Step 6: Final answer
    x = 3,450,064.37

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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.