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Finding the Third Proportional to 2,473,638.75 and 3,784,023

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Solution

The third proportional to 2,473,638.75 and 3,784,023 is: 5,788,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,638.75 : 3,784,023 = 3,784,023 : x
  2. Step 2: Convert to fraction form
    2,473,638.75/3,784,023 = 3,784,023/x
  3. Step 3: Cross multiply
    2,473,638.75x = 3,784,023 × 3,784,023
  4. Step 4: Simplify right side
    2,473,638.75x = 14,318,830,064,529
  5. Step 5: Solve for x
    x = 14,318,830,064,529/2,473,638.75
  6. Step 6: Final answer
    x = 5,788,569.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.