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Finding the Third Proportional to 822,480.75 and 1,226,875.50

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Solution

The third proportional to 822,480.75 and 1,226,875.50 is: 1,830,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,480.75 : 1,226,875.50 = 1,226,875.50 : x
  2. Step 2: Convert to fraction form
    822,480.75/1,226,875.50 = 1,226,875.50/x
  3. Step 3: Cross multiply
    822,480.75x = 1,226,875.50 × 1,226,875.50
  4. Step 4: Simplify right side
    822,480.75x = 1,505,223,492,500.25
  5. Step 5: Solve for x
    x = 1,505,223,492,500.25/822,480.75
  6. Step 6: Final answer
    x = 1,830,101.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.