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Finding the Third Proportional to 775,547.50 and 1,675,615.50

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Solution

The third proportional to 775,547.50 and 1,675,615.50 is: 3,620,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,547.50 : 1,675,615.50 = 1,675,615.50 : x
  2. Step 2: Convert to fraction form
    775,547.50/1,675,615.50 = 1,675,615.50/x
  3. Step 3: Cross multiply
    775,547.50x = 1,675,615.50 × 1,675,615.50
  4. Step 4: Simplify right side
    775,547.50x = 2,807,687,303,840.25
  5. Step 5: Solve for x
    x = 2,807,687,303,840.25/775,547.50
  6. Step 6: Final answer
    x = 3,620,264.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.