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Finding the Third Proportional to 802,304 and 1,762,080

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Solution

The third proportional to 802,304 and 1,762,080 is: 3,870,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,304 : 1,762,080 = 1,762,080 : x
  2. Step 2: Convert to fraction form
    802,304/1,762,080 = 1,762,080/x
  3. Step 3: Cross multiply
    802,304x = 1,762,080 × 1,762,080
  4. Step 4: Simplify right side
    802,304x = 3,104,925,926,400
  5. Step 5: Solve for x
    x = 3,104,925,926,400/802,304
  6. Step 6: Final answer
    x = 3,870,011.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.