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Finding the Third Proportional to 761,835 and 1,624,919

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Solution

The third proportional to 761,835 and 1,624,919 is: 3,465,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,835 : 1,624,919 = 1,624,919 : x
  2. Step 2: Convert to fraction form
    761,835/1,624,919 = 1,624,919/x
  3. Step 3: Cross multiply
    761,835x = 1,624,919 × 1,624,919
  4. Step 4: Simplify right side
    761,835x = 2,640,361,756,561
  5. Step 5: Solve for x
    x = 2,640,361,756,561/761,835
  6. Step 6: Final answer
    x = 3,465,792.14

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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.