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Finding the Third Proportional to 1,574,653 and 3,454,394

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Solution

The third proportional to 1,574,653 and 3,454,394 is: 7,578,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,653 : 3,454,394 = 3,454,394 : x
  2. Step 2: Convert to fraction form
    1,574,653/3,454,394 = 3,454,394/x
  3. Step 3: Cross multiply
    1,574,653x = 3,454,394 × 3,454,394
  4. Step 4: Simplify right side
    1,574,653x = 11,932,837,907,236
  5. Step 5: Solve for x
    x = 11,932,837,907,236/1,574,653
  6. Step 6: Final answer
    x = 7,578,074.60

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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.