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Finding the Third Proportional to 1,849,412.25 and 2,901,906

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Solution

The third proportional to 1,849,412.25 and 2,901,906 is: 4,553,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,412.25 : 2,901,906 = 2,901,906 : x
  2. Step 2: Convert to fraction form
    1,849,412.25/2,901,906 = 2,901,906/x
  3. Step 3: Cross multiply
    1,849,412.25x = 2,901,906 × 2,901,906
  4. Step 4: Simplify right side
    1,849,412.25x = 8,421,058,432,836
  5. Step 5: Solve for x
    x = 8,421,058,432,836/1,849,412.25
  6. Step 6: Final answer
    x = 4,553,370.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.