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Finding the Third Proportional to 622,854.56 and 975,783.38

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Solution

The third proportional to 622,854.56 and 975,783.38 is: 1,528,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,854.56 : 975,783.38 = 975,783.38 : x
  2. Step 2: Convert to fraction form
    622,854.56/975,783.38 = 975,783.38/x
  3. Step 3: Cross multiply
    622,854.56x = 975,783.38 × 975,783.38
  4. Step 4: Simplify right side
    622,854.56x = 952,153,194,926.39
  5. Step 5: Solve for x
    x = 952,153,194,926.39/622,854.56
  6. Step 6: Final answer
    x = 1,528,692.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.