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Finding the Third Proportional to 1,217,257.50 and 1,899,582

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Solution

The third proportional to 1,217,257.50 and 1,899,582 is: 2,964,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,257.50 : 1,899,582 = 1,899,582 : x
  2. Step 2: Convert to fraction form
    1,217,257.50/1,899,582 = 1,899,582/x
  3. Step 3: Cross multiply
    1,217,257.50x = 1,899,582 × 1,899,582
  4. Step 4: Simplify right side
    1,217,257.50x = 3,608,411,774,724
  5. Step 5: Solve for x
    x = 3,608,411,774,724/1,217,257.50
  6. Step 6: Final answer
    x = 2,964,378.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.