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Finding the Third Proportional to 657,801 and 1,537,942.50

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Solution

The third proportional to 657,801 and 1,537,942.50 is: 3,595,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,801 : 1,537,942.50 = 1,537,942.50 : x
  2. Step 2: Convert to fraction form
    657,801/1,537,942.50 = 1,537,942.50/x
  3. Step 3: Cross multiply
    657,801x = 1,537,942.50 × 1,537,942.50
  4. Step 4: Simplify right side
    657,801x = 2,365,267,133,306.25
  5. Step 5: Solve for x
    x = 2,365,267,133,306.25/657,801
  6. Step 6: Final answer
    x = 3,595,718.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.