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Finding the Third Proportional to 1,574,651.39 and 3,454,389.28

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Solution

The third proportional to 1,574,651.39 and 3,454,389.28 is: 7,578,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,651.39 : 3,454,389.28 = 3,454,389.28 : x
  2. Step 2: Convert to fraction form
    1,574,651.39/3,454,389.28 = 3,454,389.28/x
  3. Step 3: Cross multiply
    1,574,651.39x = 3,454,389.28 × 3,454,389.28
  4. Step 4: Simplify right side
    1,574,651.39x = 11,932,805,306,414.89
  5. Step 5: Solve for x
    x = 11,932,805,306,414.89/1,574,651.39
  6. Step 6: Final answer
    x = 7,578,061.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.