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Finding the Third Proportional to 1,605,708.56 and 2,348,276.06

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Solution

The third proportional to 1,605,708.56 and 2,348,276.06 is: 3,434,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,708.56 : 2,348,276.06 = 2,348,276.06 : x
  2. Step 2: Convert to fraction form
    1,605,708.56/2,348,276.06 = 2,348,276.06/x
  3. Step 3: Cross multiply
    1,605,708.56x = 2,348,276.06 × 2,348,276.06
  4. Step 4: Simplify right side
    1,605,708.56x = 5,514,400,465,710.50
  5. Step 5: Solve for x
    x = 5,514,400,465,710.50/1,605,708.56
  6. Step 6: Final answer
    x = 3,434,247.41

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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.