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Finding the Third Proportional to 1,074,042,306 and 1,604,448,816

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Solution

The third proportional to 1,074,042,306 and 1,604,448,816 is: 2,396,791,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,042,306 : 1,604,448,816 = 1,604,448,816 : x
  2. Step 2: Convert to fraction form
    1,074,042,306/1,604,448,816 = 1,604,448,816/x
  3. Step 3: Cross multiply
    1,074,042,306x = 1,604,448,816 × 1,604,448,816
  4. Step 4: Simplify right side
    1,074,042,306x = 2,574,256,003,163,801,600
  5. Step 5: Solve for x
    x = 2,574,256,003,163,801,600/1,074,042,306
  6. Step 6: Final answer
    x = 2,396,791,996.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.