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Finding the Third Proportional to 736,708.50 and 1,613,952

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Solution

The third proportional to 736,708.50 and 1,613,952 is: 3,535,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,708.50 : 1,613,952 = 1,613,952 : x
  2. Step 2: Convert to fraction form
    736,708.50/1,613,952 = 1,613,952/x
  3. Step 3: Cross multiply
    736,708.50x = 1,613,952 × 1,613,952
  4. Step 4: Simplify right side
    736,708.50x = 2,604,841,058,304
  5. Step 5: Solve for x
    x = 2,604,841,058,304/736,708.50
  6. Step 6: Final answer
    x = 3,535,782.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.