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Finding the Third Proportional to 804,252 and 1,732,069.50

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Solution

The third proportional to 804,252 and 1,732,069.50 is: 3,730,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,252 : 1,732,069.50 = 1,732,069.50 : x
  2. Step 2: Convert to fraction form
    804,252/1,732,069.50 = 1,732,069.50/x
  3. Step 3: Cross multiply
    804,252x = 1,732,069.50 × 1,732,069.50
  4. Step 4: Simplify right side
    804,252x = 3,000,064,752,830.25
  5. Step 5: Solve for x
    x = 3,000,064,752,830.25/804,252
  6. Step 6: Final answer
    x = 3,730,254.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.