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Finding the Third Proportional to 804,565 and 1,762,747

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Solution

The third proportional to 804,565 and 1,762,747 is: 3,862,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,565 : 1,762,747 = 1,762,747 : x
  2. Step 2: Convert to fraction form
    804,565/1,762,747 = 1,762,747/x
  3. Step 3: Cross multiply
    804,565x = 1,762,747 × 1,762,747
  4. Step 4: Simplify right side
    804,565x = 3,107,276,986,009
  5. Step 5: Solve for x
    x = 3,107,276,986,009/804,565
  6. Step 6: Final answer
    x = 3,862,058.36

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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.