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Finding the Third Proportional to 873,114.19 and 1,275,772.78

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Solution

The third proportional to 873,114.19 and 1,275,772.78 is: 1,864,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,114.19 : 1,275,772.78 = 1,275,772.78 : x
  2. Step 2: Convert to fraction form
    873,114.19/1,275,772.78 = 1,275,772.78/x
  3. Step 3: Cross multiply
    873,114.19x = 1,275,772.78 × 1,275,772.78
  4. Step 4: Simplify right side
    873,114.19x = 1,627,596,189,378.36
  5. Step 5: Solve for x
    x = 1,627,596,189,378.36/873,114.19
  6. Step 6: Final answer
    x = 1,864,127.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.