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Finding the Third Proportional to 624,283.59 and 1,370,080.69

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Solution

The third proportional to 624,283.59 and 1,370,080.69 is: 3,006,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,283.59 : 1,370,080.69 = 1,370,080.69 : x
  2. Step 2: Convert to fraction form
    624,283.59/1,370,080.69 = 1,370,080.69/x
  3. Step 3: Cross multiply
    624,283.59x = 1,370,080.69 × 1,370,080.69
  4. Step 4: Simplify right side
    624,283.59x = 1,877,121,090,260.47
  5. Step 5: Solve for x
    x = 1,877,121,090,260.47/624,283.59
  6. Step 6: Final answer
    x = 3,006,840.34

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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.