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Finding the Third Proportional to 849,087.94 and 1,284,587.25

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Solution

The third proportional to 849,087.94 and 1,284,587.25 is: 1,943,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,087.94 : 1,284,587.25 = 1,284,587.25 : x
  2. Step 2: Convert to fraction form
    849,087.94/1,284,587.25 = 1,284,587.25/x
  3. Step 3: Cross multiply
    849,087.94x = 1,284,587.25 × 1,284,587.25
  4. Step 4: Simplify right side
    849,087.94x = 1,650,164,402,862.56
  5. Step 5: Solve for x
    x = 1,650,164,402,862.56/849,087.94
  6. Step 6: Final answer
    x = 1,943,455.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.