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Finding the Third Proportional to 1,569,114 and 3,352,432.50

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Solution

The third proportional to 1,569,114 and 3,352,432.50 is: 7,162,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,114 : 3,352,432.50 = 3,352,432.50 : x
  2. Step 2: Convert to fraction form
    1,569,114/3,352,432.50 = 3,352,432.50/x
  3. Step 3: Cross multiply
    1,569,114x = 3,352,432.50 × 3,352,432.50
  4. Step 4: Simplify right side
    1,569,114x = 11,238,803,667,056.25
  5. Step 5: Solve for x
    x = 11,238,803,667,056.25/1,569,114
  6. Step 6: Final answer
    x = 7,162,515.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.