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Finding the Third Proportional to 1,577,044.69 and 2,470,684.78

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Solution

The third proportional to 1,577,044.69 and 2,470,684.78 is: 3,870,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,044.69 : 2,470,684.78 = 2,470,684.78 : x
  2. Step 2: Convert to fraction form
    1,577,044.69/2,470,684.78 = 2,470,684.78/x
  3. Step 3: Cross multiply
    1,577,044.69x = 2,470,684.78 × 2,470,684.78
  4. Step 4: Simplify right side
    1,577,044.69x = 6,104,283,288,300.36
  5. Step 5: Solve for x
    x = 6,104,283,288,300.36/1,577,044.69
  6. Step 6: Final answer
    x = 3,870,710.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.