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Finding the Third Proportional to 389,036 and 805,072

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Solution

The third proportional to 389,036 and 805,072 is: 1,666,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,036 : 805,072 = 805,072 : x
  2. Step 2: Convert to fraction form
    389,036/805,072 = 805,072/x
  3. Step 3: Cross multiply
    389,036x = 805,072 × 805,072
  4. Step 4: Simplify right side
    389,036x = 648,140,925,184
  5. Step 5: Solve for x
    x = 648,140,925,184/389,036
  6. Step 6: Final answer
    x = 1,666,017.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.