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Finding the Third Proportional to 1,577,053.50 and 2,470,698

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Solution

The third proportional to 1,577,053.50 and 2,470,698 is: 3,870,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,053.50 : 2,470,698 = 2,470,698 : x
  2. Step 2: Convert to fraction form
    1,577,053.50/2,470,698 = 2,470,698/x
  3. Step 3: Cross multiply
    1,577,053.50x = 2,470,698 × 2,470,698
  4. Step 4: Simplify right side
    1,577,053.50x = 6,104,348,607,204
  5. Step 5: Solve for x
    x = 6,104,348,607,204/1,577,053.50
  6. Step 6: Final answer
    x = 3,870,730.20

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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.