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Finding the Third Proportional to 804,574 and 1,762,764

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Solution

The third proportional to 804,574 and 1,762,764 is: 3,862,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,574 : 1,762,764 = 1,762,764 : x
  2. Step 2: Convert to fraction form
    804,574/1,762,764 = 1,762,764/x
  3. Step 3: Cross multiply
    804,574x = 1,762,764 × 1,762,764
  4. Step 4: Simplify right side
    804,574x = 3,107,336,919,696
  5. Step 5: Solve for x
    x = 3,107,336,919,696/804,574
  6. Step 6: Final answer
    x = 3,862,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.