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Finding the Third Proportional to 3,924,844.88 and 5,758,097.63

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Solution

The third proportional to 3,924,844.88 and 5,758,097.63 is: 8,447,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924,844.88 : 5,758,097.63 = 5,758,097.63 : x
  2. Step 2: Convert to fraction form
    3,924,844.88/5,758,097.63 = 5,758,097.63/x
  3. Step 3: Cross multiply
    3,924,844.88x = 5,758,097.63 × 5,758,097.63
  4. Step 4: Simplify right side
    3,924,844.88x = 33,155,688,259,030.64
  5. Step 5: Solve for x
    x = 33,155,688,259,030.64/3,924,844.88
  6. Step 6: Final answer
    x = 8,447,642.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.