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Finding the Third Proportional to 1,748,058.47 and 3,843,014.63

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Solution

The third proportional to 1,748,058.47 and 3,843,014.63 is: 8,448,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,058.47 : 3,843,014.63 = 3,843,014.63 : x
  2. Step 2: Convert to fraction form
    1,748,058.47/3,843,014.63 = 3,843,014.63/x
  3. Step 3: Cross multiply
    1,748,058.47x = 3,843,014.63 × 3,843,014.63
  4. Step 4: Simplify right side
    1,748,058.47x = 14,768,761,407,963.89
  5. Step 5: Solve for x
    x = 14,768,761,407,963.89/1,748,058.47
  6. Step 6: Final answer
    x = 8,448,665.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.