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Finding the Third Proportional to 1,209,850 and 1,857,072

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Solution

The third proportional to 1,209,850 and 1,857,072 is: 2,850,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,850 : 1,857,072 = 1,857,072 : x
  2. Step 2: Convert to fraction form
    1,209,850/1,857,072 = 1,857,072/x
  3. Step 3: Cross multiply
    1,209,850x = 1,857,072 × 1,857,072
  4. Step 4: Simplify right side
    1,209,850x = 3,448,716,413,184
  5. Step 5: Solve for x
    x = 3,448,716,413,184/1,209,850
  6. Step 6: Final answer
    x = 2,850,532.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.