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Finding the Third Proportional to 971,523 and 1,358,563.50

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Solution

The third proportional to 971,523 and 1,358,563.50 is: 1,899,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,523 : 1,358,563.50 = 1,358,563.50 : x
  2. Step 2: Convert to fraction form
    971,523/1,358,563.50 = 1,358,563.50/x
  3. Step 3: Cross multiply
    971,523x = 1,358,563.50 × 1,358,563.50
  4. Step 4: Simplify right side
    971,523x = 1,845,694,783,532.25
  5. Step 5: Solve for x
    x = 1,845,694,783,532.25/971,523
  6. Step 6: Final answer
    x = 1,899,795.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.