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Finding the Third Proportional to 736,848 and 1,171,702.50

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Solution

The third proportional to 736,848 and 1,171,702.50 is: 1,863,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,848 : 1,171,702.50 = 1,171,702.50 : x
  2. Step 2: Convert to fraction form
    736,848/1,171,702.50 = 1,171,702.50/x
  3. Step 3: Cross multiply
    736,848x = 1,171,702.50 × 1,171,702.50
  4. Step 4: Simplify right side
    736,848x = 1,372,886,748,506.25
  5. Step 5: Solve for x
    x = 1,372,886,748,506.25/736,848
  6. Step 6: Final answer
    x = 1,863,188.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.