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Finding the Third Proportional to 2,575,584 and 5,658,624

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Solution

The third proportional to 2,575,584 and 5,658,624 is: 12,432,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,584 : 5,658,624 = 5,658,624 : x
  2. Step 2: Convert to fraction form
    2,575,584/5,658,624 = 5,658,624/x
  3. Step 3: Cross multiply
    2,575,584x = 5,658,624 × 5,658,624
  4. Step 4: Simplify right side
    2,575,584x = 32,020,025,573,376
  5. Step 5: Solve for x
    x = 32,020,025,573,376/2,575,584
  6. Step 6: Final answer
    x = 12,432,141.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.