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Finding the Third Proportional to 804,201 and 1,225,169

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Solution

The third proportional to 804,201 and 1,225,169 is: 1,866,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,201 : 1,225,169 = 1,225,169 : x
  2. Step 2: Convert to fraction form
    804,201/1,225,169 = 1,225,169/x
  3. Step 3: Cross multiply
    804,201x = 1,225,169 × 1,225,169
  4. Step 4: Simplify right side
    804,201x = 1,501,039,078,561
  5. Step 5: Solve for x
    x = 1,501,039,078,561/804,201
  6. Step 6: Final answer
    x = 1,866,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.