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Finding the Third Proportional to 1,774,193 and 2,779,548

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Solution

The third proportional to 1,774,193 and 2,779,548 is: 4,354,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,193 : 2,779,548 = 2,779,548 : x
  2. Step 2: Convert to fraction form
    1,774,193/2,779,548 = 2,779,548/x
  3. Step 3: Cross multiply
    1,774,193x = 2,779,548 × 2,779,548
  4. Step 4: Simplify right side
    1,774,193x = 7,725,887,084,304
  5. Step 5: Solve for x
    x = 7,725,887,084,304/1,774,193
  6. Step 6: Final answer
    x = 4,354,592.25

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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.