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Finding the Third Proportional to 956,745 and 1,480,477.50

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Solution

The third proportional to 956,745 and 1,480,477.50 is: 2,290,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,745 : 1,480,477.50 = 1,480,477.50 : x
  2. Step 2: Convert to fraction form
    956,745/1,480,477.50 = 1,480,477.50/x
  3. Step 3: Cross multiply
    956,745x = 1,480,477.50 × 1,480,477.50
  4. Step 4: Simplify right side
    956,745x = 2,191,813,628,006.25
  5. Step 5: Solve for x
    x = 2,191,813,628,006.25/956,745
  6. Step 6: Final answer
    x = 2,290,906.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.