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Finding the Third Proportional to 643,597.45 and 1,386,866.25

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Solution

The third proportional to 643,597.45 and 1,386,866.25 is: 2,988,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,597.45 : 1,386,866.25 = 1,386,866.25 : x
  2. Step 2: Convert to fraction form
    643,597.45/1,386,866.25 = 1,386,866.25/x
  3. Step 3: Cross multiply
    643,597.45x = 1,386,866.25 × 1,386,866.25
  4. Step 4: Simplify right side
    643,597.45x = 1,923,397,995,389.06
  5. Step 5: Solve for x
    x = 1,923,397,995,389.06/643,597.45
  6. Step 6: Final answer
    x = 2,988,510.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.