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Finding the Third Proportional to 804,580 and 1,675,297

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Solution

The third proportional to 804,580 and 1,675,297 is: 3,488,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,580 : 1,675,297 = 1,675,297 : x
  2. Step 2: Convert to fraction form
    804,580/1,675,297 = 1,675,297/x
  3. Step 3: Cross multiply
    804,580x = 1,675,297 × 1,675,297
  4. Step 4: Simplify right side
    804,580x = 2,806,620,038,209
  5. Step 5: Solve for x
    x = 2,806,620,038,209/804,580
  6. Step 6: Final answer
    x = 3,488,304.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.