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Finding the Third Proportional to 1,973,038 and 4,239,787.50

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Solution

The third proportional to 1,973,038 and 4,239,787.50 is: 9,110,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,038 : 4,239,787.50 = 4,239,787.50 : x
  2. Step 2: Convert to fraction form
    1,973,038/4,239,787.50 = 4,239,787.50/x
  3. Step 3: Cross multiply
    1,973,038x = 4,239,787.50 × 4,239,787.50
  4. Step 4: Simplify right side
    1,973,038x = 17,975,798,045,156.25
  5. Step 5: Solve for x
    x = 17,975,798,045,156.25/1,973,038
  6. Step 6: Final answer
    x = 9,110,720.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.