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Finding the Third Proportional to 802,112.63 and 1,742,553

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Solution

The third proportional to 802,112.63 and 1,742,553 is: 3,785,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,112.63 : 1,742,553 = 1,742,553 : x
  2. Step 2: Convert to fraction form
    802,112.63/1,742,553 = 1,742,553/x
  3. Step 3: Cross multiply
    802,112.63x = 1,742,553 × 1,742,553
  4. Step 4: Simplify right side
    802,112.63x = 3,036,490,957,809
  5. Step 5: Solve for x
    x = 3,036,490,957,809/802,112.63
  6. Step 6: Final answer
    x = 3,785,616.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.