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Finding the Third Proportional to 825,810.75 and 1,223,365.50

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Solution

The third proportional to 825,810.75 and 1,223,365.50 is: 1,812,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,810.75 : 1,223,365.50 = 1,223,365.50 : x
  2. Step 2: Convert to fraction form
    825,810.75/1,223,365.50 = 1,223,365.50/x
  3. Step 3: Cross multiply
    825,810.75x = 1,223,365.50 × 1,223,365.50
  4. Step 4: Simplify right side
    825,810.75x = 1,496,623,146,590.25
  5. Step 5: Solve for x
    x = 1,496,623,146,590.25/825,810.75
  6. Step 6: Final answer
    x = 1,812,307.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.