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Finding the Third Proportional to 841,551 and 1,183,702.50

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Solution

The third proportional to 841,551 and 1,183,702.50 is: 1,664,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,551 : 1,183,702.50 = 1,183,702.50 : x
  2. Step 2: Convert to fraction form
    841,551/1,183,702.50 = 1,183,702.50/x
  3. Step 3: Cross multiply
    841,551x = 1,183,702.50 × 1,183,702.50
  4. Step 4: Simplify right side
    841,551x = 1,401,151,608,506.25
  5. Step 5: Solve for x
    x = 1,401,151,608,506.25/841,551
  6. Step 6: Final answer
    x = 1,664,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.