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Finding the Third Proportional to 806,085 and 1,225,165.50

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Solution

The third proportional to 806,085 and 1,225,165.50 is: 1,862,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,085 : 1,225,165.50 = 1,225,165.50 : x
  2. Step 2: Convert to fraction form
    806,085/1,225,165.50 = 1,225,165.50/x
  3. Step 3: Cross multiply
    806,085x = 1,225,165.50 × 1,225,165.50
  4. Step 4: Simplify right side
    806,085x = 1,501,030,502,390.25
  5. Step 5: Solve for x
    x = 1,501,030,502,390.25/806,085
  6. Step 6: Final answer
    x = 1,862,124.34

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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.